High School

A window air conditioner can cool a space of up to 50m³. The floor of a room has an area of 16m² , and the height of the walls is 3m. Will the air conditioner be able to cool the room? Explain.

Answer :

Final answer:

The room's volume is 48m³, and since the air conditioner can cool up to 50m³, it can indeed cool the room.

Explanation:

In this problem, we want to compare the volume of the room (the floor area multiplied by the height of the walls) with the capacity of the air conditioner.

The volume of the room can be calculated using the formula for the volume of a rectangular prism, which is length times width times height. In this case, our length and width make up the floor area of 16m², and the height of the room is 3m.

So, to find the volume of the room, you would multiply the area by the height: 16m² * 3m = 48m³.

Since the air conditioner can cool up to 50m³, and the volume of the room is 48m³, the air conditioner will be able to cool the room.

Learn more about Volume Calculation here:

https://brainly.com/question/32822827

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