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Read the following information and answer questions given below it:

I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimeter

II. The two opposite surfaces of 4 centimetres x 3 centimetres are painted yellow on the outside

III. The other two opposite surfaces of the 4 centimetres x 3 centimetres block are painted red on the outside

IV. The remaining two surfaces of the 3 centimetres x 3 centimetres block are painted green on the outside

V. Now, the block is cut in such a way that cubes of 1 centimetre x1 centimetre x 1 centimetre are created

How many cubes will have exactly two colours?



A

32

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B

24

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C

16

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D

12

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Solution

The correct option is C

16


Loosely speaking, such cubes are middle cubes with one edge coinciding with an edge of the larger cube. There would be 8+4+4=16 such cubes. Hence (c).


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