To find the greatest length the room can have and still be cooled by the air conditioner, we need to use the formula for the volume of a rectangular prism, which is length x width x height.
Given:
Width = 15 feet
Height = 10 feet
Maximum Volume = 3600 cubic feet
Let the length of the room be L feet.
Since volume is equal to length x width x height, we can write the equation as:
L x 15 x 10 = 3600
150L = 3600
Dividing both sides by 150 gives:
L = 3600 / 150
L = 24
Therefore, the greatest length the room can have and still be cooled by the air conditioner is 24 feet.
an air conditioner can cool a room that has a volume up to 3600 cubic feet. a room shaped like a rectangular prism is 15 feet wide and 10 feet tall. what is the greatest length the room can have and still be cooled by the air conditioner
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