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Andre's (Tudor Vianu School) started of by giving his thoughts on the problem. Many thanks for this Andre - I think it is an excellent attempt to unpick what is happening.
Side of cube | Small cubes | Faces (total) | Faces (exterior) | Colours |
2 | 8 | 6 x 8 = 48 | 6 x 4 = 24 | 2 |
3 | 27 | 6x 27 = 162 | 6 x 9 = 54 | 3 |
4 | 64 | 6 x 64 = 384 | 6 x 16 = 96 | 4 |
n | n x n x n | 6 x n x n x n | 6 x n x n | n |