A 10 cm side cube is painted from all sides. If it is to be sliced into 1 cm side cubes, how many smaller cubes will have exactly one side painted?

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KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper
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  1. 348
  2. 438
  3. 384
  4. 834

Answer (Detailed Solution Below)

Option 3 : 384
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Detailed Solution

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Given

The side of the cube = 10 cm

Sliced into 1 cm side cubes.

Formula used

The smaller cubes with exactly one side painted = 6(n - 2)2

Solution

⇒ 6(10 - 2)2

⇒ 6 × 82

⇒ 6 × 64

⇒ 384

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