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

2 c m

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4 c m

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6 c m

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8 c m

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Solution

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

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

$⟹ {(12)}^{3} = 8 a^{3}$

$⟹ 8 a^{3} = 12 \times 12 \times 12$

$⟹ a^{3} = 3 \times 6 \times 12 = 216$

$⟹ a = 6 c m$

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

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

The correct option is B 6cmLet 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=6cmHence, the side of each new cube is 6 cm.

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