Question

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

Answer 1

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

Volume of cuboid $=l\times b\times h$

The volume of the water remains the same regardless of the container it is in.

So, the height of the cuboidal tank can be found by equating both the volumes.

Volume of the cube $=$ Volume of the cuboid.

$\Rightarrow {\text{(side)}}^3=l\times b\times h$

$\therefore h=\frac{{\text{side}}^3}{l\times b}$

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

$\therefore$ Height $=20m$