Residential colony has a population of 5400 and 60 liters of water is required per person per day. For the effective utilization of rain water, they constructed a water reservoir measuring $48 m \times 27$ , $m \times 25 m$ to collect rainwater. For how many days, the water of this tank is sufficient, if during rain the height of the water is 5 m.

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Solution

Total water used per day $= 5400 \times 60 = 324000 l i t r e s$
Dimension of the water reservoir $= 48 \times 27 \times 25$
$= 32400 m^{3}$
Volume of the water in the reservoir
$= 48 \times 27 \times 5$
$= 6480 m^{3}$
Since, $1 m^{3} = 1000 l i t r e s$
Thus, volume of water in the reservoir $= 6480000$ litres.
$∴$ Water will be sufficient for $\frac{6480000}{324000}$ days
$= 20$ days
Therefore, the water in the tank is sufficient for $20$ days.

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