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= 5^{3}

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 5^{3} = 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.

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?