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swimming pool ...volume maths question
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what is the approx water volume in litres or gallons of a swimming pool of the following dimensions ....
width 11 metres length 25 metres
depth at shallow end 1m dropping down to a deep end depth of 2m..
width 11 metres length 25 metres
depth at shallow end 1m dropping down to a deep end depth of 2m..
Answers
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For more on marking an answer as the "Best Answer", please visit our FAQ.Cross-section is a trapezium whose parallel sides are 100cm and 200cm and whose length is 2500cm.
Area of cross-section =1/2 (sum of the parallel sides)xlength, i.e. 1/2x300x2500sq cm which is 375000sq cm.
Volume=Area of cross-sectionxwidth of pool
i.e.375000x1100cu.cm which is 412500000cu.cm
A litre=1000cu.cm
So volume of water= 412500000 divided by 1000 which gives 412500litres
A litre=1.76pints or 0.22gallons approx
So volume of water in gallons=412500x0.22 which gives
90750 gallons
Area of cross-section =1/2 (sum of the parallel sides)xlength, i.e. 1/2x300x2500sq cm which is 375000sq cm.
Volume=Area of cross-sectionxwidth of pool
i.e.375000x1100cu.cm which is 412500000cu.cm
A litre=1000cu.cm
So volume of water= 412500000 divided by 1000 which gives 412500litres
A litre=1.76pints or 0.22gallons approx
So volume of water in gallons=412500x0.22 which gives
90750 gallons
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