Question

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

Answer 1

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

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

So height of cuboidal tank can be found by equating the two

$\therefore \text{height}=\frac{{\text{side}}^3}{\text{length}\times \text{breadth}}$

$=\frac{{10}^3}{5\times 10}$

$\therefore Height=20m$