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
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.