Art of Problem Solving

Perfect cube: Difference between revisions

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=== Introductory Problems ===
=== Introductory Problems ===
* [[2005_AMC_10A_Problems/Problem_15 | 2005 AMC 10A Problem 15]]
* [[2005_AMC_10A_Problems/Problem_15 | 2005 AMC 10A Problem 15]]
 
* [[2018_AMC_8_Problems/Problem_25 | 2018 AMC 8 Problem 25]]


== See also ==
== See also ==

Revision as of 19:50, 11 December 2018

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

See also