pyq/2017/csat/58

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

(A) 8

(B) 16

(C) 24

(D) 36