A solid cube of 4 inches has been painted red, green and

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A solid cube of 4 inches has been painted red, green and

A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have no face painted?

As we can see that ,
Four central cubes in Layer 2 and four central cubes in Layer 3 have no face painted. Thus, there are 8 such cubes.