gwd math 27-35

aprilhuang

Q35:

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. cubic root of x

B. cubic root of (2x/3)

C. cubic root of (3x/2)

D. 2/3 times cubic root of x

E. 3/2 times cubic root of x

bloomingtrees

长方体内部空间是x，长宽高比例是3：2：2

x=3a*2a*2a=12a^3, a=(x/12)^(1/3)=0.5[(2x/3)^(1/3)]

2a=(2x/3)^(1/3), 选B

aprilhuang

thanks  a  lot !!!