Question

If the surface area of a cube is $384$ sq. m, then its volume is:

• A. $510m^3$
• B. $511m^3$
• C. $512m^3$
• D. $513m^3$

Answer 1

Answer: (C)

$512m^3$

Let $l$ be the side of a cube,

then its surface area $=6l^2$

But given, its surface area $=384$ m${}^2$.

$\Rightarrow 6l^2=384$

$\Rightarrow l^2=\frac{384}{6}=64$

$\Rightarrow l=8m$.

Hence, volume of cube $=l^3=8^3=512m^3$.

Thus, option $C$ is correct.