Find the volume of a cube whose surface area is

Surface area of a cube is given by:

$S A=6 s^{2}$, where $s=$ Side of the cube

Further, volume of a cube is given by:

$V=s^{3}$, where $s=$ Side of the cube

It is given that the surface area of the cube is 384 m2. Therefore, we have:

$6 s^{2}=384 \Rightarrow s=\sqrt{\frac{384}{6}}=\sqrt{64}=8 \mathrm{~m}$

Now, volume is given by:

$V=s^{3}=8^{3} \Rightarrow V=8 \times 8 \times 8=512 \mathrm{~m}^{3}$