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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? - CBSE Class 9 - Mathematics

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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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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Ex.18.20 | Q: 16 | Page no. 30
Solution 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? Concept: Volume of a Cuboid.
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