Perfect Cube and Cube Root

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 ∛x, where x is the number.

Front

Calculate the cube root of 343.

Back

The cube root of 343 is 7, since 7 x 7 x 7 = 343.

Front

What is 2 cubed?

Back

2 cubed (2^3) is equal to 8, since 2 x 2 x 2 = 8.

Front

Calculate the cube root of 27.

Back

The cube root of 27 is 3, since 3 x 3 x 3 = 27.

Front

Calculate the cube root of 64.

Back

The cube root of 64 is 4, since 4 x 4 x 4 = 64.

Front

What is the value of 4 cubed?

Back

4 cubed (4^3) is equal to 64, since 4 x 4 x 4 = 64.

Front

List the first five perfect cubes.

Back

The first five perfect cubes are 1 (1^3), 8 (2^3), 27 (3^3), 64 (4^3), and 125 (5^3).

Front

How do you determine if a number is a perfect cube?

Back

To determine if a number is a perfect cube, find its cube root and check if the result is an integer. If it is, the number is a perfect cube.

Front

What is the relationship between cube roots and perfect cubes?

Back

The cube root of a perfect cube is always an integer, and cubing that integer will return the original perfect cube.