A cube is painted blue on its top and bottom faces and yellow on its four side faces, and cut along the lines into small cubes. How many small cubes have both blue and yellow paint?

Question

Accepted Answer

32. Both colours appear where a blue face meets a side face: the outer ring of the top layer and of the bottom layer. Each ring has 4 × 5 - 4 = 16 cubes, so 2 × 16 = 32.

A cube is painted blue on its top and bottom faces and yellow on its four side faces, and cut along the lines into small cubes. How many small cubes have both blue and yellow paint?

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