Question

The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 $m^2$. The volume of cuboid is___ $m^3$

Answer 1

The sides will be $x,2x,3x$

Total surface area $=2(x.2x+2x.3x+x.3x)$

$\Rightarrow 2(2x^2+6x^2+3x^2)=88$

$\Rightarrow 22x^2=88$

$\Rightarrow x=2$

So sides are 2 cm, 4 cm and 6 cm

So volume $=2\times 4\times 6=48m^3$