Question

The total surface area of a cube is $1350sq$.$m$. Find its volume (in metre cube).

Answer 1

As, we know surface area of a cube is Total surface Area $A=6\times (side{)}^2$

Now, according to the question,

$6\times (side{)}^2=1350m^2$

$(side{)}^2=\frac{1350}{6}{m}^2=225m^2$

$\left(side\right)=\sqrt{225}m=15m$

Now,as we know volume of a cube is given by volume , $V=(side{)}^3$

$V=(15m{)}^3$

$V=3375m^3$