A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only one face painted? `(A) 4` `(B) 8` `(C) 16` `(D) 24`

Options

A. 4
B. 8
C. 16
D. 24

Answer

D

Explanation

In Layers 1 and 4 the four cubes each in the centre have only one face painted. In Layers 2 and 3, eight cubes each in the centre have one face painted
Thus, total number of cubes = 8 + 16 = 24