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. $2cm$
• B. $4cm$
• C. $6cm$
• D. $8cm$

Answer 1

Answer: (C)

$6cm$

Let the side of each of the new cube be $a$ cm.

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

$⟹{\left(12\right)}^3=8a^3$

$⟹8a^3=12\times 12\times 12$

$⟹a^3=3\times 6\times 12=216$

$⟹a=6cm$

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