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 . However, 121 is not a perfect cube because there is no integer such that .

Example Problems

Introductory Problems

• 2005 AMC 10A Problem 15
• 2018 AMC 8 Problem 25

Intermediate Problems

• 1988 AIME Problem 9

See also

• Number theory
• Perfect square
• Perfect power