A box is a rectangular prism with a square base. The volume is 972 cubic centimeters and the area of the square base is 81 square centimeters. What is the height of the box? Explain how you found your answer.

Question

Eleanor Cain

Mathematics

1 May, 00:08

A box is a rectangular prism with a square base. The volume is 972 cubic centimeters and the area of the square base is 81 square centimeters. What is the height of the box? Explain how you found your answer.

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Answers (1)

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Josiah Caldwell · Answer 1

The volume is V=LxWxH. The length x Width is just the area, A, of the bottom (also of the top) So you could also write V=AxH, that is volume is

area x height. Since we know V equals 972 and A equals 81 we can solve for H:

V=AxH

972=81H

972/81=H

H=12cm