Problem Solving

A rectangular box of volume \(x\) has width, depth and height in the ratio of \(3{:}2{:}2\) (in this order). What is the height in function of \(x?\)

A. \(\left(\dfrac{x}{12}\right)^{1/3}\)

B. \(\left(\dfrac{x}{6}\right)^{1/3}\)

C. \(\left(\dfrac{x}{4}\right)^{1/3}\)

D. \(\left(\dfrac{2x}{3}\right)^{1/3}\)

E. \(\left(x\right)^{1/3}\)

The OA is D