Question

Each edge of a cube measures 2 cm. If the measure of each edge of the cube is doubled, find the new volume of the cube.

• A. $54c{m}^3$.
• B. $74c{m}^3$.
• C. $64c{m}^3$.
• D. $65c{m}^3$.

Answer 1

The correct option is C

$64c{m}^3$.

Given: Each edge of the cube measures 2 cm.

Volume $\left(V\right)=length\times width\times height$

Volume $\left(V1\right)=2\times 2\times 2$
= $2^3=8$ cc

Edge of new cube = 4 cm
Volume $\left(V2\right)=4\times 4\times 4$
= $4^3=64$ cc

Hence the new volume of the cube is 64 cc.