2005 Geometry #5: Two Cubes and a Sphere
Source:
May 16, 2013
geometry3D geometrysphereMATHCOUNTSrectanglePythagorean Theorem
Problem Statement
A cube with side length is inscribed in a sphere. A second cube, with faces parallel to the first, is inscribed between the sphere and one face of the first cube. What is the length of a side of the smaller cube?