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determine the total volume of air in the school.
tall section of school:
- height: 10 meters
- width: 18 meters
- length: 12 meters
short section of school:
- height: 4 meters
- width: 15 meters
- length: 9 meters
Step1: Calculate volume of tall section
Volume of a rectangular prism \( V = l\times w\times h\). For tall section, \(l = 12\), \(w = 18\), \(h = 10\).
\(V_{tall}=12\times18\times10=2160\) cubic meters
Step2: Calculate volume of short section
For short section, \(l = 9\), \(w = 15\), \(h = 4\).
\(V_{short}=9\times15\times4 = 540\) cubic meters
Step3: Calculate total volume
\(V_{total}=V_{tall}+V_{short}\)
\(V_{total}=2160 + 540=2700\) cubic meters
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2700 cubic meters