Perfect Cubes and Cube Roots

Videos, worksheets, stories and songs to help Grade 8 students learn about perfect cubes and cube roots.

In this lesson, we will learn what are perfect cubes and how to calculate the cube root of a perfect cube.

A perfect cube is a number that is the cube of an integer.
For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 53
Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

The opposite of cubing a number is finding the cube root. Since 53 = 125, the cube root of 125 is 5. The cube root of a perfect cube is an integer.

It is possible to get the cube root of a negative number. For example, the cube root of −125 is −5.

Perfect Cubes - Cube Roots



Evaluate Square Roots of Perfect Squares and Cube Roots of Perfect Cubes



Identify perfect cubes and find cube roots





Perfect Cubes - Cube Roots



This video explains how to simplify a cube root and fifth root with negative radicands.





This video shows how to find the smallest multiple of another number that is also a perfect cube.
What is the smallest positive whole number that is a perfect cube and is a multiple of 24?



Finding Perfect Cube Roots


Perfect cubes and cube roots





You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)




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