> > ?? sphere is not a circle and a cube is not a square! > It is true that the largest SQUARE that can be inscribed in a CIRCLE has side of length sqrt[1/2]D where D is the diameter of the circle but the largest CUBE that can be inscribed in a SPHERE has side of length sqrt[1/3]D where D is the diameter of the sphere, as I said before.
-------------------- Whoa, you are right and I was wrong. The diameter of the sphere should have been the diagonal of the cube. (diameter)^2 = (s^2 +s^2) +s^2 (diameter)^2 = 3s^2 s = sqrt[(1/3)(diameter)^2] = sqrt(1/3) *(diameter).