Start with a rectangular solid, two ends of which are squares. Label the vertices of one square A, B, C, D. The square opposite this is labeled A', B', C', D', with A' connected to A by an edge of the solid, and so forth.

Make a cut through plane ACD', and another cut through A'C'D. This results in the block being divided into four pieces. Discard the smallest three pieces. The volume of the remaining piece is a two-digit number of cubic centimeters. Each of the two digits happens to be one of the dimensions of the original rectangular solid, in centimeters.

What is that volume of that largest piece?

The required volume is 34 cubic centimeters.

Posted by K Sengupta on 2009-01-09 15:57:11