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Question

There are 20 until cubes all of whose faces are white, and 44 until cubes all of whose faces are red They are put together to form a bigger cube (4×4×4). What is the minimum number of white faces visible on this larger cube?

A
20
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B
14
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C
12
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D
8
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Solution

The correct option is C 12
20 unit cubes are white 44 are red. Now of the inner cube formed, there will be a core inside which want be visible. That shall contain 2×2×2=8 cubes. For minimum white cubes outside let these all 8 be white.
Now remaining 12 cubes will be visible.
Hence, the answer is 12.

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