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The interior of a rectangular carton is designed by a certain manufacturer to have a volume of \(x\) cubic feet and

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by Gmat_mission » Fri Jan 08, 2021 2:03 am

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The interior of a rectangular carton is designed by a certain manufacturer to have a volume of \(x\) cubic feet and a ratio of length to width to height of \(3:2:2.\) In terms of \(x,\) which of the following equals the height of the carton, in feet?

A. \(\sqrt[3]{x}\)

B. \(\sqrt[3]{\dfrac{2x}3}\)

C. \(\sqrt[3]{\dfrac{3x}2}\)

D. \(\dfrac23\sqrt[3]{x}\)

E. \(\dfrac32\sqrt[3]{x}\)

Answer: B

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