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Q.

Read the following information's and answer the question.

I. The length, breadth and height of a rectangular piece of wood are 4 cm , 3 cm and 5 cm respectively. 

II. Opposite sides of 5 cm x 4 cm piece are coloured in red. 

III. Opposite sides of 4 cm x 3 cm are coloured in blue. 

IV. Rest sides of 5 cm x 3 cm are coloured on green in both sides. 

V. Now the piece of is cut in such a way that cubes of 1 cm x 1 cm x 1 cm will be made.

How many cubes shall have only one colour ?

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a

16

b

28

c

22

d

12

answer is C.

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Detailed Solution

One surface coloured

=2(1−2)(b−2)+2(1−2)(h−2)+2(b−2)(h−2)=2{3×1+3×2+1×2}=22

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