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Each colour must appear on all six faces of the larger cube.

Small cubes can be placed
  • at the corners of the large cube,
  • on the edges of the large cube,
  • in the middle of the faces of the large cube,
  • or at the very centre of the large cube.
How many faces of the small cube will be visible in each of these different positions?

A small cube will need to go in at the very centre of the larger cube.
Where will the other two small cubes of the same colour go?