Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide, and has a vol ume 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.
1 answer:
Speedy cage is 2 inches taller than fluffy cage.
<h3>How to find the volume of a rectangular prism?</h3>
The volume of rectangular prism = lwh
where
l =length h = height w = weight Therefore,
height of fluffy cage can be calculate as follows:
4340 = 20 × 14 × h
4340 = 280h
h = 4340 / 280
h = 15.5 inches
height of Kenneth cage can be calculate as follows:
5250 = 20 × 15 × h
5250 = 300h
h = 5250 / 300
h = 17.5 inches
height difference = 17.5 - 15.5 = 2.0 inches
Hence, speedy cage is 2 inches taller than fluffy cage.
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