Question

Question 6
A village, having a population of 4000, requires 150 litres of 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

The given tank is cuboidal in shape having its length(l) as 20 m, breadth(b) as 15 m, and height(h) as 6 m.

Capacity of the tank $=l\times b\times h$

$=(20\times 15\times 6)m^3=1800m^3=1800000litres$ (1$m^3$=1000 litres)

Water consumed by the people of the village in $1day=(4000\times 150)litres=600000litres$ [ 1 $m^3$ = 1000 litres ]
Let the water in this tank last for n days.

Water consumed by all people of the village in n days is the capacity of the tank.
Therefore,
$n\times 600000=1800000$

So, n = 3

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