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?

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#### Solution

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 tank = *l × b× h*

= (20 × 15 × 6) m^{3}

= 1800 m^{3}

= 1800000 litres

Water consumed by the people of the village in 1 day = (4000 × 150) litres = 600000 litres

Let water in this tank last for *n* days.

Water consumed by all people of village in *n* days = Capacity of tank

*n* × 600000 = 1800000

*n* = 3

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

Concept: Volume of a Cuboid

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