If the length of the diagonal of a cube is $8 sqrt{3}$ cm, then its surface area is

If the length of the edge of cube be x cm, then

diagonal 3x cm

$herefore sqrt{3} x=8 sqrt{3} Rightarrow x=8 mathrm{~cm}$

$herefore$ Surface area of the cube $=6 x^{2}$

$=6 imes 8 imes 8=384$ sq. $mathrm{cm}$