"Question 6 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?
Class 9 - Math - Surface Areas and Volumes Page 228"
Answers
VOLUME:
The space occupied by an object solid body is called the volume of the particular object solid body volume is always measured in cubic unit.
Volume of a liquid that can fill the interior of the hollow is called the capacity of the hollow object.
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Given:
Dimension of tank = l=20m , b=15m, h= 6m
Capacity of the tank =volume of tank= lbh
= (20×15×6)
= 1800 m³
Water required for one person per day =150 L
Water required for 4000 persons per day =
(4000×150) L
= (4000×150)/1000
= 600 m³
Number of days the water will last = Capacity of
tank /Total water required per day
=(1800/600) = 3
Hence,The water will last for 3 days.
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Hope this will help you..
Answer: 3 days
Step by step explanation:
Given,
Quantity of water in tank = (20 ×15×6) = 1800m³
Population of village = 4000
Water required = 150/per head per day
Quantity of water required by the village per day:
= ( 4000 × 150) liters
= 4000×150 ÷ 1000 m³
= 600 m³
No. of days which the water will last
= 1800÷600
= 3 days
Explanation:
This question can be solved by 2 methods, I have solved this question in very simple way. In this question, There was the Given population and water requires per day.
And, There were a tank, which was wearing of 20 meters, 15 meters and 6 meters. We First find, Quantity of water in tank = (20 ×15×6) = 1800m³.
Then, We find Quantity of water required by the village per day.
= ( 4000 × 150) liters
= 4000×150 ÷ 1000 m³
= 600 m³.
And, Finally we divide it with 600 with 1800. And, we get 3 days.