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Question
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?
Solution
Given that
Length of the cuboidal tank(l)=20m
Breath of the cuboidal tank (b) = 15m.
Height of cuboidal tank (h)=6 m
Height of the tank`=lxxbxxh=(20xx15xx6)m^3`
`=1800m^3`
`=1800000 liters.`
Water consumed by people of village in one day
`=4000xx150 litres.`
`=600000 litres.`
Let water of this tank lasts for n days
Water consumed by all people of village in n days = capacity of tank
`nxx600000=1800000`
`n=3`
Thus, the water of tank will last for 3 days.
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