Enigma 1456: Cutting edge
2 March 2013
Posted by on
From New Scientist #2617, 18th August 2007
I started with a small rectangular block with one end a square, ABCD, and with a correspondingly labelled square at the other end, A*B*C*D*. I made two cuts through the block, one through the plane ACD* and the other through the plane A*C*D. This cut the block into four pieces, and I discarded the smallest three of those.
The volume of the remaining piece is a two-figure number of cubic centimetres. By coincidence, in that number each of the two digits was the length of one of the sides of the original rectangular block.
What, in cubic centimetres, is the volume of this remaining piece?