MathDB
Triangles in a Cube

Source:

May 11, 2006
geometry3D geometry

Problem Statement

The sum of the areas of all triangles whose vertices are also vertices of a 1×1×11\times 1 \times 1 cube is m+n+pm+\sqrt{n}+\sqrt{p}, where mm, nn, and pp are integers. Find m+n+pm+n+p.
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