Difference between revisions of "Perfect cube"
m |
(→Introductory Problems) |
||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
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. | 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 <math>5^3 = 125</math>. However, 121 is not a cube because there is no integer <math>n</math> such that <math>n^3 = 121</math>. | + | For example, 125 is a perfect cube because <math>5^3 = 125</math>. However, 121 is not a perfect cube because there is no integer <math>n</math> such that <math>n^3 = 121</math>. |
== Example Problems == | == Example Problems == | ||
=== 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 20:50, 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 . However, 121 is not a perfect cube because there is no integer such that .