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The outer surface of a 4 cm x 4 cm x 4 cm cube is painted completely in red. It is sliced parallel to the faces to yield sixty four 1 cm x 1 cm x 1 cm small cubes. How many small cubes do not have painted faces?

(a) 8

(b) 16

(c) 24

(d) 36

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Correct option is (a) 8

Total number of small cubes do not have painted faces (4 - 2)3 = 8.

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