A village, having a population of 4000, requires 150 litres of water per head per day.
It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?
Length of the tank = l = 20 m
Breadth of the tank = b = 15 m
Height of the tank = h = 6 m
Total population of a village = 4000
Consumption of the water per head per day = 150 litres
Water consumed by the people in 1 day = (4000 × 150) litres
= 600000 litres …......(1)
Formula to find the capacity of tank, C = l × b × h
Using given data, we have
C = (20 × 15 × 6) m3
= 1800 m3
C = 1800000 litres
Let water in this tank last for d days.
Water consumed by all people in d days = Capacity of tank (using equation (1))
600000 d =1800000
d = 3
Therefore, the water of this tank will last for 3 days.