Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Make a cube out of straws and have a go at this practical challenge.
60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?