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Question

How many cubes have only one faces painted ?

A
24
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B
20
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C
8
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D
12
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Solution

The correct option is A 8
In the given statement, there are 36 cubes, 32 of which are of
the same size and 4 other sure of bigger size. Clearly, each side of
bigger cubes is twice as large as that of similar cubes. Also, since no
face of any of the larger cubes is painted blue, so each one of the
larger cubes has one face painted red, one is black and all other faces
are unpainted.
The cubes having only one face painted are the 4
central cubes along each of the two surfaces painted blue. Thus, there
are 4×2=8 such cubes.
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