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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? - Mathematics

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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) m3 

                        = 1800 m3 

                        = 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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APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.5 | Q 6 | Page 228

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