Difference between revisions of "Perfect cube"

(Introductory Problems)
(Introductory Problems)
 
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* [[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]]
 
* [[2018_AMC_8_Problems/Problem_25 | 2018 AMC 8 Problem 25]]
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=== Intermediate Problems ===
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*[[1988_AIME_Problems/Problem_9 | 1988 AIME Problem 9]]
  
 
== See also ==
 
== See also ==

Latest revision as of 13:12, 24 August 2023

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