Model Cube Roots as Edge Lengths of Cubes
Written by Adi Ackerman, Head Teacher
"Model Cube Roots as Edge Lengths of Cubes" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.A.2. A 7th grader who is already steady on square and cube roots can use it too, and an older student can use it as a short review.
8th grade math worksheet: write each cube's edge length as the cube root of its volume, counting unit cubes or using 343 in³. Answer key included. Part of our cube roots collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the perfect cubes sheet so students know the cubes of 1 through 10. Use the edge length sheet to give cube roots a picture, then assign the expressions sheet for mixed practice.
What students will practice
- Students will count unit cubes to find the volume of a cube model.
- Students will write the edge length of a cube as the cube root of its volume.
- Students will find edge lengths for cubes with volumes of 125 cm³, 343 in³ and 512 ft³.
Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root or Cube Root? Name the Radicand
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots
Curriculum Links
Common Core State Standards
Expressions and Equations · 8th Grade
Standard: Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
View all 8.EE.A.2 worksheets →Find this in the curriculum
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FAQ
How do I use this cube roots worksheet?
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Start with the perfect cubes sheet so students know the cubes of 1 through 10. Use the edge length sheet to give cube roots a picture, then assign the expressions sheet for mixed practice.
What does this worksheet teach?
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Write each cube's edge length as the cube root of its volume, counting unit cubes or using 343 in³. The directions on the page read: V is the volume and e is the edge length. Each small cube is 1 cubic unit, so count cubes when V is not given. Then write e as a cube root of V and find its value. An answer key is included.
Can I use this cube roots worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade square and cube roots, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
Can you take the cube root of a negative number?
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Yes. A negative number has a negative cube root, because a negative number cubed is negative. The cube root of negative 125 is negative 5, and the perfect cubes sheet mixes positive and negative cubes.
What are the perfect cubes from 1 to 1,000?
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They are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1,000, the cubes of 1 through 10. Knowing them makes cube root items quick, and all ten appear on the perfect cubes sheet, some as negatives.
How do cube roots relate to the volume of a cube?
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The edge length of a cube is the cube root of its volume. A cube with a volume of 125 cm³ has edges of 5 cm. Model Cube Roots as Edge Lengths of Cubes uses unit cube models and given volumes.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Square and Cube Roots |
| Standard | 8.EE.A.2 |
| Pages | 1 page |
| Difficulty | Medium |
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Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root or Cube Root? Name the Radicand
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots