# 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

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.

Concept: Volume of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 16 | Page 30

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