Question

The total surface area of cube is $216c{m}^2$.Find its volume.

Answer 1

$6(Edge{)}^2$ = Total surface area of the a cube
Substituting the values
$6(Edge{)}^2=216c{m}^2=\frac{216}{6}$
By further calculation
$(Edge{)}^2=36$
Edge $=\sqrt{36}$
Edge $=6cm$
We know that
Volume of the given cube $(Edge{)}^3=(6{)}^3=6\times 6\times 6=216c{m}^3$