Perfect Cubes & Quartics

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

Calculate the cube of 6.

Back

6^3 = 216.

Front

What is the value of 2 cubed?

Back

2^3 = 8.

Front

Calculate the cube of 8.

Back

8^3 = 512.

Front

What is the cube of 7?

Back

7^3 = 343.

Front

What is the cube of 3?

Back

3^3 = 27.

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 the cube root of the number. If the cube root is an integer, then the number is a perfect cube.

Front

What is the cube root of 512?

Back

The cube root of 512 is 8, since 8^3 = 512.

Front

Explain the relationship between perfect cubes and their roots.

Back

Perfect cubes are numbers that can be formed by multiplying an integer by itself three times. The cube root of a perfect cube is the integer that was multiplied.