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Question

How many smaller cubes are painted only on one of their faces ?

A
18
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B
54
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C
36
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D
42
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E
None
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Solution

The correct option is C 36
A cube of 10'' size is cut into cubes of 2'' size. Number of small cubes thus formed will be 125.
The cubes lying the middle of each face, not touching any edge will have one face painted.
Thus number of such cubes on one face is 6.
Total number of cubes = 6×6=36

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