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 tank = l = 20 m
Breadth of tank = b = 15 m
Height of tank = h = 6 m
Volume of water in tank = volume of cuboidal tank
Volume of cuboid = lbh
⇒ volume of cuboidal tank = 20 × 15 × 6
= 1800 m3
1 m3 is 1000 litres
⇒ 1800 m3 = 1800 × 1000 = 1800000 litres
150 litres of water is required per head per day and the population of village is 4000
⇒ volume of water consumed by 4000 people per day = 4000 × 150 = 600000 litres
In one day village consumes 600000 litres of water
⇒ days require to consume 1800000 litres of water =
= 3
Thus water of tank will last 3 days
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