Question

# A village, having a population of$4000$, requires $150litres$ water per head per day. It has a tank measuring $20m×15m×6m.$ For how many days will the water of this tank last?

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Solution

## Length of the tank, $l=20m$The breadth of the tank,$b=15m$Height of tank, $h=6m$Total population of a village$=4000$Consumption of the water per head per day $=150litres$Step 1: Find the volume of the cuboid in litres. volume of cuboid $=l×b×h$ $=20×15×6\phantom{\rule{0ex}{0ex}}=1800m³$The capacity of the tank$=1800×1000litres=1800000litres\left[1{m}^{3}=1000L\right]$Step 2: Find the tank last for how many days. Let the water in this tank last for d days.Water is consumed by all people in $d$ days $=$ Capacity of the tank. $4000×150×d=1800000\phantom{\rule{0ex}{0ex}}d=\frac{1800000}{600000}\phantom{\rule{0ex}{0ex}}\therefore d=3$Therefore, the water in this tank will last for $3days.$

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