Question

Total surface area of a cube is 864 sq.cm. Find its volume

Answer 1

Let the edge of the cube be $l$ cm.
Total surface area of the cube $=864c{m}^2$
$\therefore 6L^2=864c{m}^2$
$\Rightarrow I^2=\frac{864}{6}=144$
$\Rightarrow I=\sqrt{144}=12cm$
$\therefore$Volume of the cube $=I^3=(12{)}^3=1728c{m}^3$

Thus, the volume of the cube is $1728c{m}^3$.