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Question

# A solid cube has been painted yellow, blue and black on pairs of opposite faces The cube is then cut into 36 smaller cubes such that 32 cubes are f the same size while 4 others are of bigger sizes Also no faces of any of the bigger cubes is painted blueHow 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 8In the figure there are 36 cubes 32 of which are of the same size and 4 others are of bigger size Clearly each side of bigger cubes is twice as large as that of smaller 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 face painted black and all other faces unpaintedThe 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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