How to Calculate Volume and Weight of Air in an Auditorium

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SUMMARY

The discussion focuses on calculating the volume and weight of air in an auditorium measuring 40.0m x 20.0m x 12.0m with an air density of 1.20kg/m³. The volume was correctly calculated as 9600m³, which converts to 339020 ft³ using dimensional analysis. To find the weight of the air, the density must be multiplied by the volume, resulting in a weight in kilograms that can be converted to pounds. This straightforward approach clarifies the relationship between density, volume, and weight.

PREREQUISITES
  • Understanding of basic geometry and volume calculation
  • Familiarity with density and its units
  • Knowledge of dimensional analysis for unit conversion
  • Basic arithmetic operations for multiplication and conversion
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  • Study the relationship between density, volume, and weight in physics
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  • Investigate the implications of air weight in architectural design and HVAC systems
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Students in physics or engineering, architects, and anyone involved in environmental science or building design will benefit from this discussion on calculating air volume and weight in enclosed spaces.

svtec
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Here is the problem:

An auditorium measures 40.0m X 20.0m X 12.0m. the density of the air is 1.20kg/m^3.

a) what is the volume in cubic ft?

b) the weight of the air in the room in pounds.

for a) i have some big answer. 339020 ft^3. using V=l*w*h and then using basic dimensional analysis to convert from cubic meters to cubic ft. (my answer in metric was 9600m^3.

for b) i have no clue how to convert a density to a weight.

any pointers or suggestions would be great.

TIA...

-andrew
 
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Multiply Density with Volume to get the weight in Kg , and do the conversion into pounds.
 
thanks for the help.

that was a total rookie mistake that i made.

<------ is done with calculus, but cannot manipulate a simple equation.
 

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