SOLUTION: A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the wa

Algebra ->  Length-and-distance -> SOLUTION: A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the wa      Log On


   



Question 551343: A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
1 liter = 1,000cc
The area of the bottom of the tank is 100cm.
If you now put in enough water to raise the level 10cm, you would have 10X100 = 1,000cc of water which is just 1 liter of water.
So adding 1 liter of water to this tank raises the level 10cm.
Hence, if the tank is being filled at the rate of 1 liter (1,000cc) per minute, the water level will rise at the rate of 10cm per minute.