For background please use the two links which are the bold and blue words.
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?
(In reply to Starting...
(3) Some of the material of the cube would be removed by any of the 3 cylindar cuts (such at the bits near the corners); some by 2 of the cylindars, and some by only one cylindar. That which remains is the volume we seek, of course.
(4) The first cut decreases the volume from 1 to
Pi/4 = 0.785398163397
Posted by Larry
on 2006-11-04 14:51:55