Make a cube out of straws and have a go at this practical
Investigate the number of faces you can see when you arrange three cubes in different ways.
We need to wrap up this cube-shaped present, remembering that we
can have no overlaps. What shapes can you find to use?
There are eight small cubes. Each face of each cube is to be painted either green or yellow but each cube must use each of the two colours somehow.
Work out how to paint the faces so that the cubes can be put together to make a $2$ by $2$ cube that is green all over AND can be rearranged to make a $2$ by $2$ cube that is yellow all over.
Now work out how to paint the faces to make a $3$ by $3$ green cube and a $3$ by $3$ yellow cube.