A solid whose plan view and front and side elevations resembled a multiplication symbol (x) bounded by a circle may be viewed here.

It is the third on that page.

The object can be created by imposing 3 cylinders on a cube in each of the x, y and z dimensions.

If the edges of the cube are of unit length, What is the volume of this object?

How mundane (as being simple) a solution can we get?

Your answer agrees with that given in the mathworld article entitled "Steinmetz Solid." See http://mathworld.wolfram.com/SteinmetzSolid.html

Posted by Richard on 2006-11-05 01:03:20