A solid cube of white material is painted black on all its surface. If

1.	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
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

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

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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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

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