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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
Source: Official Guide
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
Source: Official Guide
