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Jenny collects seashells and interesting rocks. She keeps her collections in boxes shaped like rectangular prisms. Her seashell box is 5 inches tall and has a volume of 200 cubic inches. Her rock box has a volume of 280 cubic inches. The area of the base of both boxes is the same. How tall is Jenny's rock box?

User Jan Rieke
by
7.5k points

1 Answer

3 votes

Answer:

7 in

Explanation:

volume of a rectangular prism = width x height x length

width x length = area of the base

the sea shell box

200 = width x length x 5

width x length = 200/5 = 40cm^2

rock box

280 = 40in^2 x height

height = 280/40 = 7 in

User Jbochniak
by
8.2k points
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