A cube is painted blue on two adjacent surfaces and black on the surfaces opposi

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Question
A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size.
Options
A. 56
B. 48
C. 32
D. 64

Correct Answer

64

Explanation

We know that Cubes with no surface painted can be find using ${(x - 2)}^{3}$ , where x is number of cuttings. Here x=6.

$? {(6 - 2)}^{3} = 64$

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