Question

A village, having a population of$4000$, requires $150litres$ water per head per day. It has a tank measuring $20m\times 15m\times 6m.$ For how many days will the water of this tank last?

Answer 1

Length of the tank, $l=20m$

The breadth of the tank,$b=15m$

Height of tank, $h=6m$

Total population of a village$=4000$

Consumption of the water per head per day $=150litres$

Step 1: Find the volume of the cuboid in litres.

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

$$\begin{gathered} =20\times 15\times 6 \\ =1800m³ \end{gathered}$$

The capacity of the tank$=1800\times 1000litres=1800000litres\left[1m^3=1000L\right]$

Step 2: Find the tank last for how many days.

Let the water in this tank last for d days.

Water is consumed by all people in $d$ days $=$ Capacity of the tank.

$$\begin{gathered} 4000\times 150\times d=1800000 \\ d=\frac{1800000}{600000} \\ \therefore d=3 \end{gathered}$$

Therefore, the water in this tank will last for $3days.$