Perfect Cube

Perfect Cube

A number that is the cube of a whole number.


125 is a perfect cube, since 53 = 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).

Try Buzzmath activities for free

and see how the platform can help you.