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      Question

      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?
      A 1/3 Correct Answer Incorrect Answer
      B 1/27 Correct Answer Incorrect Answer
      C 1/9 Correct Answer Incorrect Answer
      D 1/2 Correct Answer Incorrect Answer

      Solution

      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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