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Prime Factorisation

A cube is col...

Question

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have no face coloured?

A

27

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B

16

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C

8

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D

0

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Solution

The correct option is C 8
A cube has 6 faces.It is coloured red on all faces. To cut it into 64 equal cubes, it is cut three times across the length and breadth.There are 16 cubes on each face.(4 by 4)
Now, if we remove the cubes on all sides, there will be 8 cubes left in the middle that are not painted.
Answer is Option C

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