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Andrea needs a new air conditioning system for her house. An air conditioner must be appropriately sized: large enough to cool the house, but not so large that it wears out quickly. Calculate the volume of the house pictured below to help Andrea choose the right air conditioner.

Answer :

To determine the appropriate air conditioner size, the volume of Andrea's house was calculated to be 715 cubic meters. When selecting an AC unit, it's important to consider the cooling capacity, measured in tons, and the unit's efficiency, indicated by the EER or SEER rating.

To assess the size of the air conditioner Andrea needs for her house, we must first calculate the total volume of her living space. According to the data provided, the house is represented as a rectangular solid with dimensions 13.0 m in width, 20.0 m in length, and 2.75 m in height. The volume
V of a rectangular solid is calculated by multiplying its width (W), length (L), and height (H), by the formula: V = W *L *H.

Substituting the given dimensions, the calculation becomes: V = 13.0 m * 20.0 m * 2.75 m = 715 m3. This volume indicates the total cubic meters of air she needs to cool.

Now, for the air conditioner capacity, we need to recall the metric of "tons of capacity" which stands as 12,000 BTU per hour for each ton. The various types of cooling systems, such as the vapor compression systems, vapor absorption systems, and open-loop evaporative systems, all utilise similar metrics for the capacity.

When choosing an air conditioner, Andrea should also pay attention to the unit's EER rating or SEER rating if available, to understand its efficiency. An EER rating of around 10 Btu/watt-hour is typical for residential air conditioners and implies a generally accepted efficiency level.

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Rewritten by : Barada

Answer:29,400 ft^3

Step-by-step explanation: