MathDB

Fun Solids

Source:

November 13, 2005

geometry3D geometryoctahedronratioicosahedronpyramidtrigonometry

Problem Statement

Given that

O

is a regular octahedron, that

C

is the cube whose vertices are the centers of the faces of

O

, and that the ratio of the volume of

O

to that of

C

\frac{m}{n}

, where

m

and

n

are relatively prime integers, find

m+n