Respuesta :
Answer:
Therefore the system will take 9 hours to filter all the air in the building.
Step-by-step explanation:
Given that,
a gambling casino in the shape of squared pyramid with a side length of 60 ft.
The height of the building is 36 ft.
The volume of the building is = Area of the base ×height
= (60²×36) cubic ft
The volume of the air in the building = The volume of the building.
= (60²×36) cubic ft
An air filtering system can circulate air at 14,400 cubic ft per hour.
It means
The air filtering system can circulate 14,400 cubic ft air in 1 hour.
The air filtering system can circulate 1 cubic ft air in [tex]\frac{1}{14,400}[/tex] hour.
The air filtering system can circulate (60²×36) cubic ft air in [tex]\frac{60^2\times 36}{14,440}[/tex] hours.
= 9 hours.
Therefore the system will take 9 hours to filter all the air in the building.
