Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 May 2015, 05:24

# Expecting Soon:

Wharton Round 3 Decisions.   |   Join Chat Room for Live Updates

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The interior of a rectangular carton is designed by a

Author Message
TAGS:
Manager
Joined: 10 Oct 2005
Posts: 113
Location: Hollywood
Followers: 0

Kudos [?]: 16 [0], given: 0

The interior of a rectangular carton is designed by a [#permalink]  12 Dec 2005, 05:24
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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
_________________

The GMAT, too tough to be denied.
Beat the tough questions...

Director
Joined: 27 Jun 2005
Posts: 515
Location: MS
Followers: 2

Kudos [?]: 28 [0], given: 0

C

3L=2H => L=2/3H

2W=2H => H =W

L*H*W = x

2/3H*H*H=x

H^3=3/2x

H=(3/2x)^1/3
Manager
Joined: 12 Nov 2005
Posts: 78
Followers: 1

Kudos [?]: 5 [0], given: 0

Volume = LBH = x
Since L:B:H = 3:2:2, the volume x= 3a.2a.2a

therefore x = 12a^3
or a = (x/12)^(1/3) (i.e. cubeth root of (x/12))
Since Height H= 2a, H= (2x/3)^(1/3) (Cubeth root of (2x/3))
Similar topics Replies Last post
Similar
Topics:
4 The interior of a rectangular carton is designed by a certai 4 25 Feb 2011, 06:24
The interior of a rectangular carton is designed by a 6 20 Sep 2007, 14:17
The interior of a rectangular carton is designed by a 1 02 Nov 2006, 08:21
The interior of a rectangular carton is designed by a 3 05 Aug 2006, 07:02
The interior of a rectangular carton is designed by a 4 11 Oct 2005, 14:57
Display posts from previous: Sort by