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Answer :
Final answer:
The air conditioner can cool a room volume up to 50 cubic meters, and since the room in question has a volume of 48 cubic meters, the air conditioner is capable of cooling it. The correct answer is a. Yes, the air conditioner will be able to cool the room.
Explanation:
To determine if an air conditioner can cool a room, we need to compare the volume of the room with the cooling capability of the air conditioner. The volume of the room can be found by multiplying the area of the floor by the height of the walls. In this case, we have a room with a floor area of 16 square meters and a wall height of 3 meters. Therefore, the room's volume is 16 m2 × 3 m = 48 cubic meters.
Since the air conditioner has the capability to cool a space of up to 50 cubic meters, it is sufficient to cool this room because the room's volume of 48 cubic meters is within the air conditioner's capacity. Therefore, the correct answer is: a. Yes, the air conditioner will be able to cool the room. The efficiency or insulation of the room are not the limiting factors, at least concerning the volume the air conditioner is rated to cool.
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