[求助]GWD 2-Q5

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.    ³√x

B.    ³√[(2x)/3]

C.    ³√[(3x)/2]

D.    (2/3) ³√x

E.    (3/2) ³√x

这题我的理解换算不出最后的答案，不知道是不是读题的理解错误，请问哪位牛牛可以解释一下，谢了！

in my opinion, the answer is B

suppose the length, width and height of the rectangular are 3t, 2t, 2t, respectively

then the volume must be 3t*2t*2t=12t^3=x

thus t=³√(x/12)

the height =2 ³√(x/12)=³√(2^3x/12)=³√(2x/3)

谢谢，我还是题目意思不看清楚。

一个立方体的东东，设计成X立方英尺大小。长宽高比为3:2:2

问东东的高如果用X表示应该该是多少