Problema Solution
A large fish tank in the shape of a rectangular prism is 24 inches high, and has a base that is 18 inches wide and 36 inches long. You are filling the tank with water to a height of 22 inches. If water is being pumped in a rate of 2 cubic inches per second, how many minutes will it take to reach the proper level?
Answer provided by our tutors
First we will find the volume of the water that needs to be pumped:
V = length*width*height
V = 36*18*22
V = 14,256 in^3
the rate of the pump is 2 cubic inches per second and let t represent the time in seconds needed for the water to reach the proper level
2t = 14,256 divide by 2
t = 14,256/2
t = 7128 s
t = 7128/60 min
t = 118.8 min
it will take 118.8 min for the water to reach the proper level.