Exploring Cube Roots

A Grade 8 worksheet focusing on understanding and calculating cube roots of perfect cubes and estimating non-perfect cube roots.

Grade 8 Math Arithmetic and Number TheoryCube Roots

Use This Worksheet

Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.2

Topics

mathgrade 8cube rootsperfect cubesestimation

7 sections · Free to use · Printable

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where prompted.

1. The cube root of a number is a value that, when multiplied by itself times, equals the original number.

2. A perfect cube is a number that is the result of an integer multiplied by itself three times. For example, 27 is a perfect cube because .

3. The symbol for cube root is .

4. Which of the following numbers is a perfect cube?

100

200

5. Find the cube root of 216.

6. What is the value of \(\sqrt[3]{-125}\)?

7. The cube root of 1 is 1.

True

False

8. Every positive number has two real cube roots (one positive and one negative).

True

False

9. Between which two consecutive integers does \(\sqrt[3]{70}\) lie?

10. A cube has a volume of 500 cubic units. Estimate the length of one side to the nearest whole number.