Question

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?

Answer 1

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