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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?

Q : 6    A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring \small 20\hspace{1mm}m\times 15\hspace{1mm}m\times 6\hspace{1mm}m. For how many days will the water of this tank last?
 

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N Nehul

Given,

Dimensions of the tank = \small 20\hspace{1mm}m\times 15\hspace{1mm}m\times 6\hspace{1mm}m

4000 people requiring 150 litres of water per head per day

The total volume of water required = 4000\times150 = 600000\ litres

Let the number of days the water will last be n

We know,

The volume of a cuboid = l\times b \times h

\small \therefore The volume of the water tank = \small (20 \times15\times 6)\ m^3 = 1800\ m^3 = 1800000\ litres

According to question,

\small n\times600000 = 1800000

\small \\ \Rightarrow n= 3

Therefore, the water in the tank will last for 3 days.

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