Question

The water in a cubical tank of side 10 m is transferred to completely fill a cuboidal tank of length 5 m, breadth 10 m and height h. Then the height of the cuboidal tank (in metres) is ___

Answer 1

Volume of cube $=(\text{side}{)}^3$

Volume of cuboid $=\left(\text{length}\right)\times \left(\text{breadth}\right)\times \left(\text{height}\right)$

So, height of cuboidal tank can be found by equating the two volumes as the same amount of water is transferred from cubical tank to cuboidal tank.

$\therefore (\text{side}{)}^3=(\text{length})\times (\text{breadth})\times (\text{height})$
$\Rightarrow \text{Height}=\frac{{\text{side}}^3}{\text{length}\times \text{breadth}}$
$=\frac{{10}^3}{5\times 10}$

$\therefore$ Height = 20m