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Free worksheet – addition and subtraction word problems strategy.

Free word problem comprehension strategy teaches students to apply reading comprehension strategies using CUBES or CUBED method – FREE!

This easy-to-use CUBES word problem strategy provides your students with the tools to solve addition and subtraction word problems. This strategy works because students are given a solid, concrete method to organize information.

CUBES word problem strategy helps students understand how to solve story problems

Math word problems are always a bug-a-boo to teach – but they don’t have to be when students break the problem down into smaller pieces.

Concrete Strategy for Addition and Subtraction Word Problems

I’ve tried several different math word problem strategies for teaching students to truly understand story problems. However, CUBES or CUBED is the one method that I keep returning to year after year.

Plus, with these worksheets, students learn to apply the strategies they learn in reading class to their math problems – this brings REAL results!

Keep reading for a FREE SAMPLE!

Solving multi-step problems is difficult for students, and using either the CUBES or CUBED strategy helps break down the steps. A straightforward, easy-to-understand method also promotes confidence and provides a consistent strategy to follow.

Each page lists either the CUBES or CUBED procedure in a checkbox format. Most teachers are already familiar with CUBES, and with CUBED, the  “D”  stands for  “Draw a picture.” Students are encouraged to draw a picture to help promote comprehension and problem-solving.

I love the twist on CUBES – drawing pictures helps visual learners make the story problem concrete enough to visualize and solve .

Want to learn more about CUBES and CUBED?

To learn more about CUBES and CUBED math word problem-solving strategies, you’ll like the article Struggling with Math Story Problems? CUBES to the Rescue!

To learn more about steps to solve math word problems in general, you’ll like the article How to Teach Math Word Problems – CUBES Math Strategy .

Now for the FREE Addition and Subtraction Worksheet

Try a FREE sample worksheet for yourself! Click on the image to visit my Teachers Pay Teachers store.

You’ll find the FREE worksheet in the PREVIEW! Enjoy!

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FREE – did someone say “ Free ?? ” Visit my Teachers Pay Teachers Store for a FREE SAMPLE – try it out and see what you think!

You’ll find the free worksheet in the PREVIEW on Teachers Pay Teachers.

Addition and subtraction worksheets using CUBES strategy

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Exploring the Power of the CUBES Math Strategy for Word Problems

Math problem-solving is one of the most challenging things we teach. The CUBES strategy is all about helping students tackle those tricky word problems with ease. Whether you’re dealing with pesky volume or area questions, or trying to figure out how many more apples Sally has than Timmy, the CUBES math strategy can be a great way to help those learners who struggle with word problems develop a systematic method to approach these problems. By breaking down the problem into smaller, more manageable chunks, you can quickly solve even the most complicated math problems.

Cubes Math Strategy

So if you’ve ever found yourself scratching your head in frustration over your struggling learners’ battle with story problems, fear not! The CUBES math strategy is here to make your life a whole lot easier. Stick around to learn more about how this awesome strategy can help you help your struggling students become math problem-solving pros!

What is the CUBES Math Strategy?

The CUBES math strategy is a tool designed to help give students a systematic approach to breaking down and solving math word problems. The acronym C.U.B.E.S stands for:

  • C ircle key numbers & units
  • U nderline the question
  • B ox math action words
  • E valuate the problem
  • S olve the problem & check your work

By breaking down the problem into these steps, students can better understand the context of the problem and effectively solve it.

Benefits of using the CUBES strategy in math word problems

While CUBES is not the ideal method for all math problem solving, especially as word problems become more complex, you can use the strategy as a starting point to guide struggling students in being more attentive and systematic when tackling word problems.

Many struggling learners struggle with executive functioning and need a clear-cut plan for tackling this next-level math skill, and incorporating a strategy like CUBES into your teaching can give them steps to approach word problems rather than leaving them overwhelmed and unsure where to begin. This can help students build confidence in their ability to successfully solve math story problems and prepare them to solve multi-step problems, ultimately enhancing their problem-solving skills.

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Step-by-Step Guide to Using the CUBES Strategy

Implementing the CUBES strategy means teaching students the key steps and working through a gradual release process until they can effectively do this themselves. This systematic approach helps students understand the problem and empowers them to tackle word problems with confidence. Here’s a little more about each step your students will need to achieve:

C- Circle the numbers & units

C stands for “circle the key information.” This includes the numbers, units, and core information needed to solve the problem. This includes identifying math vocabulary that represents a number, such as “several,” “half,” or “a dozen.” Some questions may not involve numbers at all, in which case you would circle each instance of the word “none.” It is also important to identify units (such as feet, miles, or kilograms) and whether there is a decimal point.

While we don’t want students solely relying on keywords when faced with a word problem, it can be helpful for them to recognize which words are references to mathematical symbols. For example, “+” means addition, and “-” means subtraction.

U- Underline the question

After students read the problem and circle numbers/units, they must underline the question. While this may seem silly, if students aren’t attending to what is being asked, they won’t get the right answer. Helping students stay on target is a key component of the CUBES strategy for solving math problems.

Once your student has underlined the question and knows exactly what he or she needs to solve, it’s time to move on to step B: boxes and bullets.

B- Box math action words

Notice this doesn’t say keywords…Again, we don’t want students focused solely on using keywords for math problem solving. Research has shown time and time again this is an ineffective strategy once problems become more complex.

That said, students need to look at word problems through the lens of critical readers. What in the problem gives them a clue as to what they need to do to solve it?

Just like the author of a story gives us details to help us infer and get to the story’s resolution, the author of a word problem helps us find the path to the solution. We need to be critical readers to get there. This is where boxing key information can be helpful. Here are some common examples that are often viewed as keywords but are critical for students to attend to to solve problems accurately:

  • Addition: add, added, both, sum, total
  • Subtraction: difference between, less than
  • Multiplication: times twice as many/much as of every
  • Division: split equally among/between each share out of

E- Evaluate or Equation

At this stage, it’s time to implement your strategy to solve. For some students, this will be writing and solving the equation. Others may need to evaluate by drawing a picture or using manipulatives to model the problem.

Either way, by this stage your learners should have broken down the problem to the point that they feel confident implementing a method that will lead them to the final step – solving.

S- Solve & Check

Once the strategy has been chosen, guide your students through the process of solving the problem. This may involve writing out the equation, solving for the unknown variable, and checking their work to ensure they have found the correct solution.

Encourage your students to show their work and explain their reasoning as they solve the problem. This will not only help them understand the process better but also allow you to provide feedback and support if needed.

It’s important to emphasize the importance of checking their work to ensure they have found the correct solution. This may involve plugging the solution back into the original problem to verify it or checking their work for errors in calculations.

Once your students have successfully solved the problem, congratulate them on their hard work and encourage them to reflect on the process. Ask them questions such as what strategies worked well for them, what challenges they encountered, and how they can apply what they have learned to similar problems in the future.

By guiding your students through the process of problem-solving and encouraging them to reflect on their work, you are helping them develop essential critical thinking skills that will serve them well in all areas of their education and beyond. 

Word Problem Activities Daily Problem SOlving cubes math strategy

Tips for Implementing the CUBES Math Word Problem Strategy

Whenever you’re preparing to implement a strategy with your struggling learners, it can be helpful to get some tips from teachers who have been there. In asking for advice from colleagues, here’s what they had to say.

To teach the cubes strategy, you should:

  • Teach the strategy as a whole. Because this is such a visual strategy, it’s useful to provide multiple examples of how to solve problems with CUBES on a poster or anchor chart. You can use the chart below as an example of what to include.
  • Use a standard problem as an example. Before having students practice on their own, have them watch and listen as you model how to use the CUBES strategy on the board using a Problem of the Day or by writing in student journals. Visual learners will appreciate watching you write out each step and manipulate your complex number sentence cube.
  • Use anchor charts you make together in class. Then transfer that knowledge into modeling one or two more examples with students using cubes they create out of construction paper, or if necessary, manipulatives like buttons or dry beans.
  • Don’t fall into the trap that the standard algorithm is the only way to solve once the strategy has been used. Let students draw pictures, use manipulatives, make number lines, or whatever other strategies you’ve taught. The CUBES math strategy is to help them break up the problem. It isn’t the guiding principle of the math calculations.
  • Students can use CUBES to filter out irrelevant details and focus on the essential details needed to solve the problem. By guiding students to evaluate the problem systematically, you can help students make informed decisions and tackle complex math challenges. It is great for learners who might get bogged down in all the details.

Cubes Strategy for Word Problems

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cubes problem solving worksheet

cubes problem solving worksheet

  • January 3, 2021
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  • Filed under: Uncategorized

CUBES Math Strategy for Word Problems

The CUBES math strategy is a tool teachers use to aid students with problem solving. Do you have students that when faced with a word problem they seem to freeze and have no idea where to start?

The math CUBE strategy provides those students with a starting point, a set of steps to perform in order to solve a particular math word problem.

What is the CUBES strategy?

This strategy helps students break down word problems by creating five steps they must follow in order to solve. CUBES is an acronym that is easily remembered by students.

C – Circle the numbers

U – Underline the question

B – Box the key words

E – Evaluate and Eliminate unnecessary information

S – Solve and check

Why use the CUBES math strategy?

  • It gives students a starting point when they are faced with word problems. We know many kids fear word problems and many times they have no idea where to start.
  • It makes kids aware of what the problem is asking – this might seem simple but forcing kids to underline the question is a good way to make them read what is the problem asking me to do.
  • It brings out all the numbers in the problem – sometimes word problems present numbers in numerical form, word form, or any other tricky form. Circling the numbers forces kids to look through the problem to find numbers in any form.

If you are looking for a digital way to use CUBES, I have created a set of Google slides where students can annotate the word problems, write an equation, and solve.

CUBES Math Strategy Word Problems

https://youtu.be/0iL3v7V6jVA

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cubes problem solving worksheet

Lucky Little Learners

What is the CUBES Math Strategy

The CUBES math strategy is a simple tool that teachers can teach their students to provide them with step-by-step actionable steps to pick apart and understand what is being asked in a story problem.  Each letter of CUBES stands for an actionable item that students will do to their word problems.

Disclaimer:  I'm not an advocate for using the CUBES strategy as the ONLY strategy to solve story problems.  I do believe that other strategies such as make a list, draw a picture, guess and check, act it out, make a table, use objects, and write a number sentence are just a few that need to be taught first.

C is for Circle the Numbers

After students read through the word problem the first time, instruct them to go back through and circle all of the numbers or number words in the story.

C is for circle the numbers. The CUBES math strategy is so helpful to help students to solve story problems.

U is for Underline the Question

The next step is for the students to underline the question that is found within the story problem.  Teach the students to think about the question and decide what exactly the question is asking them to do with the numbers.

U is for underline the question. This post breaks down the CUBES math strategy perfectly and includes pictures!

B is for Box the Key Words

When students draw a box around the key words, they are often found within the question that was just underlined.  This step can be a bit tricky in certain situations.  For example:  “John has 16 green apples.  He has 4 more green apples than red.  How many red apples does John have?”  In this instance, the students need to stop and think…”What is the question asking?” or “What does the question want to know?”

B is for box the key words. Read more about the CUBES math strategy and download your free CUBES math strategy template.

E is for Eliminate the Extra Information

Some K-2 teachers choose to skip the E step and some find it beneficial.  This step requires the students to go back into the story problem to decide if there is any information that can be skipped or ignored.

E is for eliminate extra information. Read more about the CUBES math strategy and download a free student anchor chart.

S is for Solve and Check the Problem

After the students have gone through the CUBES math strategy steps, they have worked with the story problem quite a bit.  They have gained a solid understanding of what the story problem is about and what is being asked.  The final step is to take the numbers, decide what to do with the numbers, solve, and then check.  Teach students to ask themselves, “Does the answer make sense?”

Have you heard of the CUBES or CUBS math strategy? It helps students break down, pick apart, and solve those tough story problems!

Anchor Chart and Free Student Template

An anchor chart is a great way to teach and display the CUBES math strategy in the classroom.  Here is a student anchor chart template that you can give your students to fill out when you are going over the anchor chart with the class.  

An anchor chart is a great way to teach and display the CUBES math strategy in the classroom.  Here is a free student anchor chart template that you can give your students to fill out when you are going over the anchor chart with the class.  It's available for both the CUBS and CUBES strategy.

Download CUBES Solving Mat HERE

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The CUBES Math Strategy can be a great tool for students to solve those tricky word problems. This post breaks down each step and includes a free CUBES math strategy template!

11 Comments

Lori Mouritsen

Our math coach just taught my students this! THANK YOU!

Sara

Good! Nice job learning it!!

Linda

OMG, I love this! This is a better version of the way I was teaching a similar strategy. Thank you so much for sharing!

brenna

This was amazing for our math project we were doing in 8th grade

Nancy Koenig

I already do this but I like the ACRONYM and the easy to use format.

Kathleen Jorgensen

What do you do when you get to two-step problems? What do you do when there isn’t a key word? Does “altogether” mean you are to add or to multiply? Does “more” mean add (7 more bears came) or does it mean subtract (How many more horses were in the field with the cows than in the field with the sheep?) If you are not expecting that the students read the word problem, how are they to determine what information is not necessary?

Do you have any idea how hard it is to work through word problems with 3rd or 4th graders who leaned CUBES in K-2?

Bailey Jordan

​Hi! We would love to help you with this question, please email us at [email protected] and we will do our best to answer it for you! Thanks so much!

Bailey Jordan Lucky Little Learners

barbara

I am curious about this, as well. My students are very confused when faced with these same situations.

Jess Dalrymple

Thanks for reaching out. The CUBES strategy is simply one helpful strategy for solving word problems, but it definitely does not work for all word problems. We recommend teaching your students multiple strategies and working with them to understand what the word problem is asking. Have a great day!

Lydia Walker

Hi! Do you also have the other strategies that you recommend teaching first here on your site. I’d love to read about them to give my 1st grade son multiple strategies. Thanks for your help!

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→ → Volume & surface area

Find here an unlimited supply of free, printable worksheets for the volume and surface area of cubes & rectangular prisms, including with fractional edge lengths. You can control the number of problems, workspace, border around the problems, and more.

The problems include a picture of a prism with its dimensions, and ask for either its volume, surface area, or for the edge length of a cube. These worksheets are especially meant for grades 5 and 6 when students study volume of prisms, but certain types of problems you can create suit best grades 7-9.

You can also make problems where the volume or surface area is given along with some dimensions, and the students need to calculate either the volume or the surface area of the prism. These types of problems are meant for 7th-9th grade as they are more challenging and may require the use of an equation.


Each worksheet is randomly generated and thus unique. The and is placed on the second page of the file.

You can generate the worksheets — both are easy to print. To get the PDF worksheet, simply push the button titled " " or " ". To get the worksheet in html format, push the button " " or " ". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:



Find the volume or surface area of rectangular prisms (grade 5)
 

   
 

Problem solving: find the volume/    
 

Find the volume of a rectangular prism with fractional edge lengths, using fraction unit cubes (grade 6; halves, thirds, and fourths; the whole number part is max 3)

   
 

Find the volume of a rectangular prism with fractional edge lengths
(grade 6; challenge)
 

   
 

Here are some more worksheets about volume and surface area (in html format).

  • Find the volume of a prism when its dimensions are given or edge length of a cube when its volume is given (grade 5; easy)
  • Find the volume or surface area of rectangular prisms (includes decimal numbers; grades 5-6)
  • Find the volume of a rectangular prism with fractional edge lengths (halves, thirds, and fourths; the whole number part is max 5; grade 6)
  • Problem solving: find the volume or surface area when either surface area or volume and some dimensions are given (for 8th/9th grade as you will need to solve an equation)

Interactive 3-Dimensional Shapes (Solids) With this interactive 3-D shape explorer, you can visualize and rotate the following solids: cube, cuboid (a.k.a rectangular prism), tetrahedron, square pyramid, octahedron, triangular prism, and cylinder. Drag the shape with the mouse to rotate it. See the net of each solid (click the button "unfold"). The activity allows students to easily count the number of faces, edges, and vertices of the solids.

Interactive Unit Cubes Tool This unit cube activity helps students understand 3-dimensional space, visualize solids in it, and to understand the basic idea of volume. It's most useful for grades 3-5. You're given a shape made with unit cubes on the left and you need to build the same shape in the workarea on the right.

The generator

Using the worksheet generator, you can control the type of problems, number of problems, maximum number used, the types of fractions used, workspace, border around the problems, and additional instructions.

Volume/Surface area of rectangular prisms worksheet generator


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Free Printable Cubes worksheets

Cubes: Discover a collection of free printable math worksheets featuring cube-themed activities for students and teachers. Enhance learning and explore new concepts in a fun and interactive way.

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Explore printable Cubes worksheets

Cubes worksheets are an excellent resource for teachers looking to enhance their students' understanding of math and geometry concepts. These worksheets focus on 3D shapes, specifically cubes, and provide a variety of activities and problems for students to solve. By incorporating cubes worksheets into their lesson plans, teachers can help students develop a strong foundation in geometry and spatial reasoning. These worksheets are designed to be engaging and challenging, ensuring that students are not only learning but also enjoying the process. With a range of difficulty levels and topics covered, cubes worksheets cater to the diverse needs of students and can be easily integrated into any math curriculum.

Quizizz is a fantastic platform for teachers who want to incorporate cubes worksheets and other engaging activities into their lessons. This platform offers a wide variety of math and geometry resources, including quizzes, games, and interactive lessons that focus on 3D shapes and other important concepts. Teachers can easily create and customize their own quizzes, or choose from a vast library of pre-made content that aligns with their curriculum. Quizizz also provides valuable insights and analytics, allowing teachers to track student progress and identify areas where additional support may be needed. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and interactive learning environment that fosters a deep understanding of math and geometry concepts.

CUBES Problem-Solving Mat

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Trying to teach your students how to break down a problem-solving question? This is the activity mat for you!

These mats allow students to practise using the problem-solving strategy of CUBES. Each section outlines the steps to undertake, with question prompts to support students in understanding the steps to take at each stage.

This resource can be used to model how to problem-solve effectively to the whole class, or it is ideal for being used in small groups and individually.

This resource comes in four colour variations with full colour, low colour, and black and white options. These will work well in write-and-wipe sleeves so your students can reuse the templates to solve any problems during any task.

Additional information

Number of Pages

23

File Format

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Australian Curriculum Code

AC9M3N05, AC9M3N06, AC9M4N06, AC9M4N08, AC9M5N07, AC9M5N09, AC9M6N09

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Cubes and Cube Roots (A)

Welcome to The Cubes and Cube Roots (A) Math Worksheet from the Number Sense Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2010-11-03 and has been viewed 258 times this week and 1,945 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

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Volume of a Cube Worksheets

Walk through this unit of printable volume of a cube worksheets hand-picked for 5th grade, 6th grade, and 7th grade students, comprising pdfs with problems presented as solid shapes and as word problems. A cube is a unique 3-dimensional shape that has squares for all six of its sides. Know the formula for the volume of the cube and use it to solve mathematical problems. Also, learn to find the side length of the cubes. Begin your learning with our free worksheets.

Volume of Cubes | Integers - Easy

Volume of Cubes | Integers - Easy

Multiply the length of the given side thrice to calculate the volume. Gain a conceptual understanding of volume and solve problems presented as 3D shapes and in word problems with dimensions involving integers ≤ 20.

  • Download the set

Volume of Cubes | Integers - Moderate

Volume of Cubes | Integers - Moderate

Add-on to your practice and level up with this batch of printable volume of a cube worksheets for grade 5. Find the volume of each cube whose side lengths are presented as 2-digit integers.

Volume of Cubes | Decimals

Volume of Cubes | Decimals

Plug in the measure of the side length (a) in the volume of a cube formula V = a 3 to determine the volume of the cube. The side length is expressed as decimals. Compute and round off the answer to two decimal places.

Volume of Cubes | Fractions

Volume of Cubes | Fractions

Convert mixed fractions to improper fractions if required and then multiply side length thrice presented as fractions to figure out the volume enclosed by each cube in these pdf worksheets for grade 6 and grade 7.

Finding the Side length of the Cube

Finding the Side length of the Cube

Solve for the side length or the edge of the cube by rearranging the volume of the cube formula. Determine the cube root of the given volume to find the length of the side. Round off to the nearest tenth.

Related Worksheets

» Volume by Counting Cubes

» Volume of Rectangular Prisms

» Volume of Triangular Prisms

» Volume of Prisms

» Volume of Mixed Shapes

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CUBES Bulletin Board and Bookmark Set

Updated:  02 Jun 2023

Tackle word problems with this CUBES problem-solving bulletin board and bookmark set.

Editable:  Google Slides

Non-Editable:  PDF

Pages:  6 Pages

  • Curriculum Curriculum:  CCSS, TEKS

Grades:  1 - 6

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CCSS.MATH.CONTENT.1.OA.A.1

Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol...

CCSS.MATH.CONTENT.1.OA.A.2

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

CCSS.MATH.CONTENT.2.OA.A.1

Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with...

CCSS.MATH.CONTENT.2.MD.B.5

Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.

CCSS.MATH.CONTENT.2.MD.C.8

Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

CCSS.MATH.CONTENT.3.OA.A.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

CCSS.MATH.CONTENT.3.OA.D.8

Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including roundi...

CCSS.MATH.CONTENT.3.MD.A.1

Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.

CCSS.MATH.CONTENT.3.MD.A.2

Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same un...

CCSS.MATH.CONTENT.4.OA.A.2

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

CCSS.MATH.CONTENT.4.OA.A.3

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unkn...

CCSS.MATH.CONTENT.4.NF.B.3.D

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

CCSS.MATH.CONTENT.4.NF.B.4.C

Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will b...

CCSS.MATH.CONTENT.4.MD.A.2

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in...

CCSS.MATH.CONTENT.5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number s...

CCSS.MATH.CONTENT.5.NF.B.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equati...

CCSS.MATH.CONTENT.6.NS.A.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) a...

Math 1.3(B)

Use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3;

Math 1.5(D)

Represent word problems involving addition and subtraction of whole numbers up to 20 using concrete and pictorial models and number sentences;

Math 2.4(C)

Solve one-step and multi-step word problems involving addition and subtraction within 1,000 using a variety of strategies based on place value, including algorithms; and

Math 2.7(C)

Represent and solve addition and subtraction word problems where unknowns may be any one of the terms in the problem.

Math 2.10(C)

Write and solve one-step word problems involving addition or subtraction using data represented within pictographs and bar graphs with intervals of one; and

CUBES Bulletin Board and Bookmark Set teaching resource

CUBES Problem Solving Strategy Set 

Are your students struggling to tackle word problems? Are they getting confused about what steps are necessary to take? A good problem-solving strategy is essential for students to master tricky word problems. While this may come naturally for some students, other students may benefit from the handy acronym, CUBES! So what does CUBES stand for exactly?

  • Circle the numbers
  • Underline the question
  • Box in the key words
  • Eliminate unnecessary information
  • Solve and show your work

How to Make the Most of Your CUBES Problem Solving Set

  • Print the posters and display them in your classroom for students to reference when doing independent work.
  • Print the bookmarks and place them in your math centers as a reminder for students.
  • Print the bookmarks and distribute them to students to keep at their desks. Invite students to pull out their bookmarks when working on math word problems.

We’ve also come up with bonus ways to turn posters into interactive tools that really make your lessons stick!

🖍️ Turn this poster and bookmark set into a coloring page by printing it in black and white.

📝 Create a fill-in-the-blank worksheet by removing selections of text.

📂 Place copies in students’ homework folders for reference.

💻 Provide posters as digital resources for virtual students.

🧠 Test students’ memories by showing them the poster, then hiding it and having them tell you what they remember.

✅ Incorporate posters into your lesson wrap-up: students write on a sticky note what they learned from the lesson and place it on the poster.

Before You Download

Please use the dropdown menu to choose between the color PDF, black and white PDF, or editable Google Slides version of this resource.

Fill your classroom with more posters and interactive displays!

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Volume of a Cube

In these lessons, we will learn

  • what is volume?
  • how to find the volume of a cube.
  • how to solve word problems about cubes.
  • about nets of a cube.

Related Pages Volume Of Rectangular Prism Volume Formula More Geometry Lessons

Solid geometry is concerned with three-dimensional shapes and their properties.

What is Volume?

The volume of a three-dimensional shape is a measurement of the space occupied by the shape.

Volume is measured in cubic units.

The volume of a unit cube = 1 unit × 1 unit × 1 unit = 1 unit 3 ( Read as one cubic unit )

The volume of a cube with sides 1 cm × 1 cm × 1 cm

Volume = 1 cm × 1 cm × 1 cm = 1 cm 3 ( Read as one cubic cm )

Some important units of conversion for volume are: 1 cm 3 = 1,000 mm 3 1 m 3 = 1,000, 000 cm 3

A cube is a three-dimensional figure with equal edges and six matching square sides.

Volume of a cube

The figure above shows a cube. The dotted lines indicate edges hidden from your view.

If s is the length of one of its sides, then the volume of the cube is s × s × s

Volume of the cube = s 3

Since the cube has six square-shape sides, the

Surface area of a cube = 6 s 2

Worksheet to calculate volume and surface area of cubes.

How to find the volume of a cube?

Step 1: Find the length of a side Step 2: Substitute into the equation Step 3: Evaluate Step 4: Write the units

Find the volume of a cube with side length of 20 feet.

Word Problems about Cubes

This video gives a word problem about the volume of cubes.

Example: Alex formed the solid as shown below. It is made up of 2-in cubes. What is the volume of the solid?

Example: A shipping company fills cases with boxes that are cubes. They pack 20 boxes of cubes in a case. What are the possible dimensions of the case?

Nets of a Cube

Imagine making cuts along some edges of a cube and opening it up to form a plane figure. The plane figure is called the net of the cube. There are 11 possible nets for a cube as shown in the following figures.

Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Sum and Difference of Two Cubes Exercises

Factoring sum and difference of two cubes: practice problems.

Direction: Factor out each binomial completely. Work it out on paper first then scroll down to see the answer key.

Problem 1: [latex]{x^3} + 216[/latex]

Problem 2: [latex]2{x^3} – 16[/latex]

Problem 3: [latex]64{x^3} – 27{y^3}[/latex]

Problem 4: [latex]3 + 81{x^3}{y^3}[/latex]

Problem 5: [latex]4{x^6}{y^{12}} – 108[/latex]

scroll down to see the answer key

SOLUTION TO PROBLEM NUMBER #1 

SOLUTION TO PROBLEM NUMBER #2

SOLUTION TO PROBLEM NUMBER #3

SOLUTION TO PROBLEM NUMBER #4

SOLUTION TO PROBLEM NUMBER #5

4x^6y^12-108=4(x^2y^4-3)(x^4y^8+3x^2y^4+9)

You might also like these tutorials:

  • Factoring Difference of Two Squares
  • Factoring Difference of Two Squares Practice Problems
  • Factoring Sum and Difference of Two Cubes

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Breadcrumbs

Rectangular prisms & cubes

Geometry Workbook for Grades 4-5

Download & Print Only $7.90

Calculating volumes

Students calculate the volume or missing side length of rectangular prisms . In the last worksheet, students determine whether shapes are cubes.

cubes problem solving worksheet

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SOLVING WORD PROBLEMS INVOLVING VOLUME OF CUBES

cubes problem solving worksheet

Formula : 

Volume of a cube = a 3 cubic units

Problem 1 :

Find the volume of a cube each of whose side is (i) 5 cm (ii) 3.5 m (iii) 21 cm

Volume of cube = a 3

(ii) 3.5 m :

= 42.875 cm 3

(iii) 21 cm :

= 9261 cm 3

Problem 2 :

A cubical milk tank can hold 125000 liters of milk. Find the length of its side in meters.

Volume of cubical milk tank = 125000 liters

1000 liters = 1 m 3 ,

Volume of tank = 125000/1000

a 3  = 125

Problem 3 :

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the with of the cuboid.

volume of cuboid = volume of cube

l x w x h = a 3

25 x w x 9 = 15 3

225w = 3375

Divide each side by 225.

Problem 4 :

The sides of two cubes A and B are in the ratio 3 : 5. If the volume of cube A is 729 cm 3 , find the volume of cube B. 

From the ratio 3 : 5, the sides of cubes A and B are 

Volume of cube A = 243 cm 3

(3x) 3 = 729

27x 3  = 729

Divide each side by 27.

x 3  = 27

x 3  = 3 3

Side of cube A = 3(3) = 9 cm

Side of cube B = 5(3) = 15 cm

Volume of cube B : 

= 3375 cm 3

Problem 5 :

If the sides of two cubes are in the ratio 4 : 7, find the ratio of their volumes. 

From the ratio 4 : 7, the sides of two cubes are 

Ratio of their volumes :

= (4x) 3 : (7x) 3

= 64x 3  : 343x 3

Divide both the terms of the ratio by x 3 .

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COMMENTS

  1. FREE Worksheet

    This easy-to-use CUBES word problem strategy provides your students with the tools to solve addition and subtraction word problems. This strategy works because students are given a solid, concrete method to organize information.

  2. Exploring the Power of the CUBES Math Strategy for Word Problems

    The CUBES math strategy is a tool designed to help give students a systematic approach to breaking down and solving math word problems. The acronym C.U.B.E.S stands for: By breaking down the problem into these steps, students can better understand the context of the problem and effectively solve it.

  3. CUBES Math Strategy for Word Problems

    The CUBES math strategy is a tool teachers use to aid students with problem solving. Do you have students that when faced with a word problem they seem to freeze and have no idea where to start?The CUBES math strategy provides those students with a starting point, a set of steps to perform in order to solve a particular math word problem.

  4. CUBES Math Strategy

    The CUBES Math Strategy is a great tool for students to break down and solve those tricky word problems. Includes a free CUBES math strategy template!

  5. PDF Year 5 Cube Numbers Reasoning and Problem Solving

    Includes the first 12 cube numbers. Greater Depth Prove if the answer to a given calculation is a cube number. Includes the first 12 cube numbers and applying knowledge of square numbers. Questions 3, 6 and 9 (Problem Solving) Developing Solve a word problem using knowledge and understanding of cube numbers. Includes the first 5 cube numbers.

  6. Free worksheets for the volume and surface area of cubes & rectangular

    An unlimited supply of printable worksheets for the volume and surface area of cubes & rectangular prisms, including with fractional edge lengths. You can control the number of problems, workspace, border around the problems, and more.

  7. 50+ Cubes worksheets on Quizizz

    Cubes worksheets are an excellent resource for teachers looking to enhance their students' understanding of math and geometry concepts. These worksheets focus on 3D shapes, specifically cubes, and provide a variety of activities and problems for students to solve.

  8. * NEW * CUBES Problem Solving Activity Sheets (Teacher-Made)

    These engaging activity sheets use the CUBES strategy for problem-solving. Within the resource, there are three differentiated sets of activity sheets with reminders of the steps for the CUBES strategy. CUBES is an acronym for the following steps to take while working through problem-solving word questions: C - Circle the numbers U - Underline the question B - Box the key words E - Eliminate ...

  9. CUBES: Solving Word Problems Display Poster

    The CUBES strategy is a method that children can use to work through word problems in Maths. CUBES is the acronym, and it stands for 'Circle', 'Underline', 'Box', 'Evaluate and Draw', and 'Solve and Check'. By providing a step-by-step process, children can work through any word problem without missing any vital elements.

  10. CUBES Problem Solving Strategy PowerPoint (teacher made)

    This engaging PowerPoint Presentation looks at the CUBES strategy for problem solving. CUBES is an acronym for the following steps to take while working through problem solving word questions: C - Circle the numbers U - Underline the question B - Box the key words E - Eliminate and Evaluate S - Solve and check Within this PowerPoint there is an explanation and three examples. The examples ...

  11. CUBES Problem Solving Walkthrough Worksheet

    Description CUBES is a problem solving strategy that I have implemented into my classroom with great success. This companion sheet requires students to think intentionally about each step in the CUBES process and explain their thinking. This has improved problem solving in my classroom tremendously. Total Pages 1 page Answer Key N/A Teaching ...

  12. CUBES Problem-Solving Mat

    Trying to teach your students how to break down a problem-solving question? This is the activity mat for you! These mats allow students to practise using the problem-solving strategy of CUBES. Each section outlines the steps to undertake, with question prompts to support students in understanding the steps to take at each stage. This resource […]

  13. Cubes and Cube Roots (A)

    Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Cubes and Cube Roots (A) math worksheet.

  14. Volume of Cubes Worksheets

    Volume of a Cube Worksheets Walk through this unit of printable volume of a cube worksheets hand-picked for 5th grade, 6th grade, and 7th grade students, comprising pdfs with problems presented as solid shapes and as word problems. A cube is a unique 3-dimensional shape that has squares for all six of its sides.

  15. CUBES Bulletin Board and Bookmark Set

    Tackle word problems with this CUBES problem-solving bulletin board and bookmark set.

  16. CUBES Problem Solving Activity Sheets (teacher made)

    These engaging activity sheets use the CUBES strategy for problem-solving. Within the resource, there are three differentiated sets of activity sheets with reminders of the steps for the CUBES strategy. CUBES is an acronym for the following steps to take while working through problem-solving word questions: C - Circle the numbers U - Underline the question B - Box the key words E - Eliminate ...

  17. CUBES Strategy

    CUBES Problem Solving Strategy Solving math problems can be tricky! You can use a strategy to help you organize the information and help you make a plan. It's called the CUBES strategy. Click on the link below and watch this video for an explanation of the strategy. null

  18. Volume of a Cube (solutions, examples, videos, worksheets)

    Volume of a cube - cubes, what is volume, how to find the volume of a cube, how to solve word problems about cubes, nets of a cube, rectangular solids, prisms, cylinders, spheres, cones, pyramids, nets of solids, examples and step by step solutions, worksheets

  19. Factoring Sum and Difference of Two Cubes Practice Problems

    Improve your proficiency in factoring the sum and difference of two cubes by engaging in these exercises. The packet includes an answer key with detailed solutions.

  20. Results for cubes strategy practice

    The CUBES strategies guide students in solving challenging math word problems for intermediate grades. These posters provide detailed tips with an example word problem.

  21. Rectangular prisms & cubes worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Students calculate the volume or missing side length of rectangular prisms. In the third worksheet, students determine whether shapes are cubes.

  22. SOLVING WORD PROBLEMS INVOLVING VOLUME OF CUBES

    SOLVING WORD PROBLEMS INVOLVING VOLUME OF CUBES. Formula : Volume of a cube = a 3 cubic units. Problem 1 : Find the volume of a cube each of whose side is (i) 5 cm (ii) 3.5 m (iii) 21 cm. Solution : (i) 5 cm : Volume of cube = a3. = 53.