# Cube of a Number

## Cube of a Number

The product of a number multiplied by itself three times.

A whole number that is the cube of another whole number is sometimes called a perfect cube.

The cubes of the first 12 whole numbers are: 0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331.
All of these cubes, except for 0, are cubic numbers.

### Notation

The cube of a number n is written as n³.

### Example

The cube of 5 is 125, or: 5³ = 5 × 5 × 5 = 125.

125 is a perfect cube

### Historical Note

The term cube originally referred to a die with six faces, such as the type used in games and that can be rolled because its edges are rounded.

The notation  was used by Greek geometricians to refer to the volume of a cube with sides c. The mathematicians who later translated and adapted the works of the Greek geometricians kept this notation to refer to the value of a quantity raised to the third power.

This explains why the terms “square” and “cube” are included in the terminology used in arithmetic to describe certain numbers.