Perfect Cubes and Cube Roots 1-10

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 1^3, 2^3, 3^3, and 4^3 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 @@ oot[3]{x}@@.

Front

Calculate @@ oot[3]{1000}@@.

Back

10

Front

Calculate @@ oot[3]{216}@@.

Back

6

Front

Calculate @@ oot[3]{27}@@.

Back

3

Front

Back

1000

Front

Calculate @@ oot[3]{729}@@.

Back

9

Front

What is the relationship between perfect cubes and cube roots?

Back

The cube root of a perfect cube is the integer that was cubed to produce that number. For example, the cube root of 64 is 4 because 4^3 = 64.

Front

List the first five perfect cubes.

Back

1, 8, 27, 64, 125.

Front

What is the cube of 5?

Back