Question

select the correct answer from each drop - down menu. an air - conditioning system needed for a new warehouse is built in the shape of a rectangular prism. the warehouse is 250 feet long, 125 feet wide, and 22 feet high. a one - ton air - conditioning unit can cool 12,000 cubic feet. what is the volume of the warehouse, and what size air - conditioner is needed? the warehouse has 687,500 cubic feet of space. the size air - conditioner will need to be at least 55 50 60 65 tons. reset next

Explanation:

Step1: Calculate volume of warehouse

The volume $V$ of a rectangular - prism is given by $V = l\times w\times h$, where $l = 250$ feet, $w = 125$ feet and $h = 22$ feet. So $V=250\times125\times22=250\times2750 = 687500$ cubic feet.

Step2: Determine size of air - conditioner

If a one - ton air - conditioning unit can cool 12000 cubic feet, then the number of tons $n$ of the air - conditioner needed is $n=\frac{V}{12000}$. Substitute $V = 687500$ into the formula: $n=\frac{687500}{12000}\approx57.29$. So the size of the air - conditioner needed is at least 57.29 tons, and among the given options, the closest value greater than 57.29 is 60 tons.

Answer:

60