Question

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

Answer 1

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.