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Question

A solid cube of side 12cm is cut into eight cubes of equal volume. What will be the side of the new cube?

A
2cm
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B
4cm
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C
6cm
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D
8cm
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Solution

The correct option is B 6cm
Let the side of each of the new cube be a cm.

Volume of bigger cube = 8 X volume of a each new cube

(12)3=8a3

8a3=12×12×12

a3=3×6×12=216

a=6cm

Hence, the side of each new cube is 6 cm.

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