Q10 of 67 Page 195

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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