A gambling casino is designed in the shape of a square pyramid with a side length of 60 ft. The height of the building is 36 ft. An air filtering system can circulate air at 14,400 cu ft/hr. How long will it take the system to filter all the air in the room

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     hour.

The air filtering system can circulate (60²×36) cubic ft air in     hours.

                                                                                                  = 9 hours.

Therefore the system will take 9 hours to filter all the air in the building.

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10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6