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A Village, Having a Population of 4000, Requires 150 Litres Water per Head per Day. It Has a Tank Which is 20 M Long, 15 M Broad and 6 M High. for How Many Days Will the Water of this Tank Last? - Mathematics

Answer in Brief

A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?

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Solution

\[\text { A village has population of 4000 and every person needs 150 L of water a day  }. \]

\[\text { So, the total requirement of water in a day }= 4000 \times 150 L = 600000 L\]

\[\text { Also, it is given that the length of the water tank is 20 m}  . \]

\[\text { Breadth = 15 m }\]

\[\text { Height = 6 m }\]

\[\text { Volume of the tank = length }\times \text { breadth } \times \text { height  }= 20 \times 15 \times 6 = 1800 m^3 \]

\[\text { Now, 1 }m^3 = 1000 L \]

\[i . e . , 1800 m^3 = 1800 \times 1000 L = 1800000 L\]

\[\text { The tank has 1800000 L of water in it and the whole village need 600000 L per day }. \]

\[ \therefore \text { The water in the tank will last for } \frac{1800000}{600000}\text {  days, i . e . , 3 days } .\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.2 | Q 12 | Page 15
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