A number that is the cube of a whole number.
Examples
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).