GWD2-5

[uneverno]

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

答案：Ｂ

*** 3^是開立方根

[汪汪北鼻]

if we assume the length to width to height equals to 3a:2a:2a
hence, (3a)(2a)(2a)=X, a=3√x/12

therefore, the height of the carton is 2a= 2(3√x/12)=3√8x/12= 3√2x/3
thus, the answer is B

ps:3√為三次立方根

[uneverno]

謝謝你~~我瞭解了^___^*