question about measurement and time

Question

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 12 inches tall. How long will it take the same hose to fill an aquarium measuring 31 inches by 32 inches by 34 inches?

Answer 1

First find the volume of Aquarium 1 and Aquarium 2
Volume = length * width * height

      Aquarium 1 = 8in * 10in * 12in = 960 cubic inches

      Aquarium 2 = 31in * 32in * 34 in = 33728 cubic inches

Because we know how long the hose takes to fill Aquarium 1, we can set up a proportion between the two:
       4 min     =        x min 

       960 in^3        33728 in^3

 

Cross multiplying gives us:

    960x = 134912

Solving for x

    x = 140.53333 min