Perfect Cubes and Cube Roots

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, 27, and 64 are perfect cubes because they can be written as 1³, 2³, 3³, and 4³ respectively.

Front

What is the cube root of a number?

Back

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as ∛x.

Front

Find the cube root of -1,331.

Back

-11

Front

What is 2 cubed? (2³)

Back

8

Front

If a cube has a volume of 64 cubic units, what is the length of one side?

Back

4 units

Front

What is 5 cubed? (5³)

Back

125

Front

Find the cube root of 125.

Back

5

Front

What is the formula for the volume of a cube?

Back

The volume V of a cube with side length s is given by V = s³.

Front

How do you calculate the cube of a number?

Back

To calculate the cube of a number, multiply the number by itself three times. For example, 3 cubed (3³) is 3 × 3 × 3 = 27.

Front

What is the cube root of 1,000?

Back

10