240

Soma Cubes are made of all 7 shapes you can make by gluing 3 or 4 cubes together (face to face lined up) so that you get something other than a rectangular solid.

The point is to arrange them in to a 3x3x3 cube.

There are 240 ways to do this  (not counting rotations).

some info on soma cubes:  wiki/Soma_cube

some more info:  games/soma.htm