A number that is the cube of a whole number.

### Examples

125 is a perfect cube, since 5^{3} = 125 and 5 is a whole number.

25 is not a perfect cube, since \(\sqrt[3]{25}\) is not a whole number.

### Educational Note

The expression “perfect cube” should not be applied to just any algebraic expression.

The polynomial \({x}^{3}-6{x}^{2}+12x-8\) which is equal to \({(x-2)}^{3}\) can only be called a perfect cube if (*x* – 2) is a whole number. Instead, the polynomial \({x}^{3}-6{x}^{2}+12x-8\) should be called the cube of the binomial (*x* – 2).