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?
cuberoot of x
cuberoot of (2x/3)
cuberoot of (3x/2)
(2/3) cuberoot of x
(3/2) cuberoot of x
ok I got 2cuberoot(x/12). I got this by creating the equation (3y)(2y)(2y) = x for some unknown integer y. solving this equation I get:
12y^3=x
y^3= (x/12)
y= cuberoot (x/12)
Then I plug this value y into the 2y (because 2y is the h)
so h= 2cuberoot (x/12).
I found this question from the internet as "past GMAT questions". This source has had some mistakes in the past. Am I correct? If not, what is wrong in my approach?
Thanks
cuberoot of x
cuberoot of (2x/3)
cuberoot of (3x/2)
(2/3) cuberoot of x
(3/2) cuberoot of x
ok I got 2cuberoot(x/12). I got this by creating the equation (3y)(2y)(2y) = x for some unknown integer y. solving this equation I get:
12y^3=x
y^3= (x/12)
y= cuberoot (x/12)
Then I plug this value y into the 2y (because 2y is the h)
so h= 2cuberoot (x/12).
I found this question from the internet as "past GMAT questions". This source has had some mistakes in the past. Am I correct? If not, what is wrong in my approach?
Thanks
