Question

Cube $A$ has an edge length of $2$ inches. Find the volume of cube $B$, whose edge length is double the edge length of Cube $A$, in cubic inches.

• A. $4$
• B. $8$
• C. $16$
• D. $32$
• E. $64$

Answer 1

Answer: (E)

$64$

The volume of cube with length $a$ is ${V=a}^3$.

Therefore, the volume of the cube $A$ with length $2$ inches is ${V=2}^3=8$ cubic inches.

It is given that the length of cube $B$ is double the length of cube $A$ that is $B=2A$ $⟹$ $B=2\left(2\right)=4$ inches.

Hence, the volume of the cube $B$ with length $4$ inches is ${V=4}^3=64$ cubic inches.

Therefore, option $E$ is correct.