• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Unable to proceed after calculating x. Help. ##### This topic has 1 expert reply and 4 member replies ## Unable to proceed after calculating x. Help. ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult 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. Cube root x B. Cube root (2x/3) C. Cube root (3x/2) D. 2/3 (Cube root x) E. 3/2(Cube root x) OA: B 3y*2y*2y = x (given) 12y^3 = x y = cube root(x/12) Inserting this value of y in 2y... H = 2y H = 2*{cube root(x/12)} I am stuck after this. How do I proceed? Thanks. Senior | Next Rank: 100 Posts Joined 12 Nov 2012 Posted: 85 messages Followed by: 2 members Upvotes: 8 Take 2 inside the cube root. Then, H = cube root(8x/12) = cube root(2x/3) ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15387 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 aman88 wrote: 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. Cube root x B. Cube root (2x/3) C. Cube root (3x/2) D. 2/3 (Cube root x) E. 3/2(Cube root x) OA: B Let L=3, W=2 and H=2. x = volume = 3*2*2 = 12. The question stem asks for the value of H=2. This is our target. Now we plug x=12 into the answers to see which yields our target of 2. A quick scan of the answer choices reveals that only B works: (2/3 * x )^(1/3) = (2/3 * 12)^(1/3) = 8^(1/3) = 2. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. Master | Next Rank: 500 Posts Joined 20 Oct 2012 Posted: 142 messages Followed by: 3 members Upvotes: 20 Target GMAT Score: 700 Anindya Madhudor wrote: Take 2 inside the cube root. Then, H = cube root(8x/12) = cube root(2x/3) Anindya, can you please explain this? How did we take "2 inside the cube root"? Thanks. Senior | Next Rank: 100 Posts Joined 12 Nov 2012 Posted: 85 messages Followed by: 2 members Upvotes: 8 2 is equal to cube root of 8. So, the expression "cube root(8x/12)" is equal to "2 * cube root(x/12)". Think of this in the reverse way. If you are given "cube root(8x/12)", can you write this as "2 * cube root(x/12)"? The answer is yes, you can. So, the opposite is true as well. Senior | Next Rank: 100 Posts Joined 21 Nov 2012 Posted: 47 messages Upvotes: 4 Test Date: 07/02/2013 Target GMAT Score: 750 Ver simple approach Lets assume that the following are the dimensions of the rectangle Length = 3, Width = 2, Height = 2 These figures comply with the ratio given in the ques. Vol = 3*2*2 = 12 Cube root of 12 gives decimal value whereas the height that we have taken is an integer. This eliminates A, D and E Insert the value in B cube root((2*12)/3) = 2 and voila B is the option • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 44 first replies
2 Brent@GMATPrepNow 34 first replies
3 Scott@TargetTestPrep 32 first replies
4 Jay@ManhattanReview 31 first replies
5 GMATGuruNY 18 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

139 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Ian Stewart

GMATiX Teacher

53 posts
4 Brent@GMATPrepNow

GMAT Prep Now Teacher

51 posts
5 Jay@ManhattanReview

Manhattan Review

31 posts
See More Top Beat The GMAT Experts