A solid cube of white material is painted on all its surface. If it is cut into 125 smaller cubes of same size, then how many cubes will have two sides painted ?
(1) 32
(2) 36
(3) 42
(4) 40
Correct option: (2) 36
Explanation:
n = 125 = (5)3 ⇒ n = 5
Two sides ***** : on the edges.
(n – 2) × 12
⇒ (5 – 2) × 12
⇒ 3 × 12 ⇒ 36