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A solid cube of white material is painted black on all its surface. If it is cut into 125 smaller cubes of same size, then how many cubes will have two sides painted black ?

(1) 32 

(2) 36 

(3) 42 

(4) 40

1 Answer

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Best answer

Correct option: (2) 36

Explanation:

n = 125 = (5)3 ⇒ n = 5

Two sides black : on the edges.

(n – 2) × 12

⇒ (5 – 2) × 12

⇒ 3 × 12 ⇒ 36

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