Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide, and has a volume of 4,340 cubic inches. Kenneth keeps his hamster, Speedy, in a cage that is the same length, but is 15 inches wide and has a volume of 5,250 cubic inches.
How much taller is Speedy's cage than Fluffy's cage?
Write your answer as a whole number, proper fraction, or mixed number.
To find the height difference between the two cages, we first need to find the height of both cages.
For Wendy's cage (Fluffy):
Volume = length x width x height
4,340 = 20 x 14 x height
4,340 = 280 x height
height = 4,340 / 280
height = 15.5 inches
For Kenneth's cage (Speedy):
Volume = length x width x height
5,250 = 20 x 15 x height
5,250 = 300 x height
height = 5,250 / 300
height = 17.5 inches
Now, we can calculate the height difference:
17.5 - 15.5 = 2 inches
Therefore, Speedy's cage is 2 inches taller than Fluffy's cage.