Forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a rectangular pyramid. The base of the pyramid and prism is 10 ft by 8 ft. The height of the pyramid is 3 ft and the height of the prism is 8 ft. The ranger station requires one CFM per ft2. Will the fan provide enough airflow for the ranger station? Why or why not?

Yes, fan will provide enough airflow in the ranger station.

Step-by-step explanation:

A ranger station consist of a rectangular pyramid and a rectangular prism.

So volume of air in ranger station = volume of prism + volume of a pyramid

Volume of a rectangular prism = Length×Width×height

= 10×8×8 = 640 ft³

Volume of the pyramid =

=

= 80 ft³

Total volume of the ranger station = 640 + 80 = 720 ft³

Since CFM has the airflow capacity of 1500 cubic feet per minute so one CFM will be sufficient for the volume of 720 ft³.