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Direction: 216 cubes of similar size are arranged in the form of the bigger cube (6 cubes on each side, i.e.., 6 x 6 x 6) all the exposed surfaces are painted.

  1. How many of the cubes have 0 faces painted?
    1. 64
    2. 125
    3. 27
    4. None of these
Correct Option: A

Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 0 faces painted is (6 - 2)3 = 43 = 64



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