2:56 C -1l Previous 1 Next Unit Posttest Submit Test Reader Tools (i) Info Save \& Exit 1 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 \( \square \) cubic feet of space. The size air conditioner will need to be at least \( \square \) tons. Reset Next

To determine the volume of the warehouse and the required size of the air conditioner, follow these steps: **1. Calculate the Volume of the Warehouse:** The warehouse is shaped like a rectangular prism with the following dimensions: - **Length (L):** 250 feet - **Width (W):** 125 feet - **Height (H):** 22 feet The volume \( V \) is calculated using the formula: \[ V = L \times W \times H \] \[ V = 250 \, \text{ft} \times 125 \, \text{ft} \times 22 \, \text{ft} = 687,500 \, \text{cubic feet} \] **2. Determine the Size of the Air Conditioner Needed:** Given that one-ton air conditioning unit can cool 12,000 cubic feet, the required size \( T \) in tons is: \[ T = \frac{V}{\text{Cooling Capacity per Ton}} = \frac{687,500 \, \text{cubic feet}}{12,000 \, \text{cubic feet/ton}} \approx 57.29 \, \text{tons} \] Since you cannot have a fraction of a ton in practical applications, you should round up to ensure adequate cooling: \[ T = 58 \, \text{tons} \] **Final Answer:** - The warehouse has **687,500** cubic feet of space. - The size air conditioner will need to be at least **58** tons.