A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted. 

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SSC CGL 2021 Tier-I (Held On : 20 April 2022 Shift 1)
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  1. 48
  2. 20
  3. 64
  4. 36

Answer (Detailed Solution Below)

Option 1 : 48
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Detailed Solution

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A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each.

Cube is divided into 18/3 = 6 equal parts, hence n = 6.

Number of cubes with 2 sides painted = 12 (n - 2)

= 12 (6 - 2)

= 12 × 4

= 48 

Hence, '48' is the correct answer. 

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