Question

# 48. All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes. How many small cubes are there whose at the most two faces are coloured?

A
48
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B
56
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C
28
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D
24
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Solution

## The correct option is B 56 Number of small cubes having two faces coloured = 8 + 8 + 4 + 4 = 24 and Number of small cubes having only one face coloured = 4 x 6 = 24 and Number of small cubes having no face coloured = 4 + 4 = 8 Therefore, total number of small cubes whose at the most two faces are coloured = 24 + 24 + 8 = 56.

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