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A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many will be with 3 blue sides?

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Twenty four

Eight

Ten

Twelve

answer is C.

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Detailed Solution

Total no. of cube of 1inch $= (4)^{3} = 64$

A cube has 8 comer and all 8 comer will always be three sided painted.

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