All the sides of a 3-inch solid cube are painted. The cube is then cut into cubes of equal size to 1 inch each. If a cube is chosen at random, what is the probability that none of its sides are painted?
Side of cube = 3 inches Number of cubes of 1 inch = (3)3 = 27 Number of unpainted cubes = 1 Required probability = Number of unpainted cubes /Number of 1-inch cubes =1/27
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