Perfect cube

A perfect cube is an integer that is equal to some other integer raised to the third power. We refer to raising a number to the third power as cubing the number.

For example, 125 is a perfect cube because $5^3 = 125$. However, 121 is not a perfect cube because there is no integer $n$ such that $n^3 = 121$.

Example Problems

Introductory Problems

Intermediate Problems

See also