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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

You may like to evaluate $(x + 4)^2, (x + 5)^2, (x + 6)^2$... before proceeding to $(x + a)^2$.