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Cubes Within Cubes Revisited

Imagine starting with one yellow cube and covering it all over with a single layer of red cubes, and then covering that cube with a layer of blue cubes. How many red and blue cubes would you need?

Partitioning Revisited

Age 11 to 14
Challenge Level

Well done to all of you who answered this correctly. Unfortunately we cannot mention all of you here. A particularly clearly presented solution was sent in by Amir and James of Devonshire Primary school .
solution