Q. A cube of edge 10 cm is painted on all faces and cut into 1000 equal small cubes. The number of small cubes having no painted face is:

  • (A) 512
  • (B) 488
  • (C) 216
  • (D) 729
βœ… Correct Answer: (A) 512
Explanation: 1000 = 10³ small cubes. Inner cubes = (10 − 2)³ = 8³ = 512.
Explanation by: Mahesh Chandra
1000 = 10³ small cubes. Inner cubes = (10 − 2)³ = 8³ = 512.

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