7

Part of 2006 Estonia Math Open Junior Contests

Problems(1)

Estonian Math Competitions 2005/2006

Source: Juniors Problem 6

A solid figure consisting of unit cubes is shown in the picture. Is it possible to exactly fill a cube with these figures if the side length of the cube is a) 15; b) 30?

geometry3D geometrycombinatorics unsolvedcombinatorics