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Euclid's Elements

The question ...

Question

The question is based on a solid cube which has been shaded as shown on pairs of opposite faces.

How many small cubes are there in the middle layer ?

A

6

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B

8

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C

9

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D

12

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Solution

The correct option is C 9
Every face has 9 parts, so there are 27 small cubes in the big cubes and thus, each layer contain 9 small cubes.
Hence, middle layer contains 9 cubes.

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