A cubical vessel is $10\ m$ long and $8\ m$ wide. How high must it be made to hold $380$ cubic metres of a liquid?

Given:

A cubical vessel is $10\ m$ long and $8\ m$ wide. 

To do:

We have to find the height of the vessel to hold $380$ cubic metres of a liquid.

Solution:

Length of the vessel $(l) = 10\ m$

Breadth of the vessel $(b) = 8\ m$

Let the height of the vessel be $h$.

Therefore,

Volume $= 380\ m^3$

Height $(h)=\frac{\text { Volume }}{l \times b}$

$=\frac{380}{10 \times 8}$

$=4.75 \mathrm{~m}$

The height of the vessel must be $4.75\ m$.