Difference between revisions of "2003 AIME I Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | The sum of the areas of all triangles whose vertices are also vertices of a 1 by 1 by 1 cube is <math> m + \sqrt{n} + \sqrt{p}, </math> where <math> m, n, </math> and <math> p </math> are integers. Find <math> m + n + p. </math> | ||
== Solution == | == Solution == | ||
Revision as of 20:07, 6 August 2006
Problem
The sum of the areas of all triangles whose vertices are also vertices of a 1 by 1 by 1 cube is 
where 
and 
are integers. Find 
