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

It is currently 20 Oct 2014, 20:08

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A cube has edges that are s centimetres in length. Identical

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1269
Location: Madrid
Followers: 23

Kudos [?]: 132 [0], given: 0

A cube has edges that are s centimetres in length. Identical [#permalink] New post 13 Sep 2006, 02:23
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A cube has edges that are s centimetres in length. Identical square holes, centred in each face of the cube, are cut through to the opposite sides of the cube and the volume of the resulting solid, shown above, is p% of that of the original cube. If the holes are t centimetres wide and s=kt where k>1, then what is p in terms of k?

(A) 100-(2k^3-3)*100/k (B) 100-(3k-2)*100/k^3 (C) 100- (2k-3)*100/k^3
(D) 100-(2k-3)*100/k^2 (E) 100-(k^3-2)*100/k^3
Attachments

cut cube.doc [26.5 KiB]
Downloaded 48 times

To download please login or register as a user

SVP
SVP
User avatar
Joined: 01 May 2006
Posts: 1814
Followers: 8

Kudos [?]: 91 [0], given: 0

 [#permalink] New post 13 Sep 2006, 02:53
Get (B)

Volume Cube = s^3
Volume removed = 3*t^2*s-2*t^3

Thus,
p/100*Volume Cube = Volume Cube - Volume removed
<=> p/100*s^3 = s^3 - 3*t^2*s+2*t^3
<=> p = 100 - 100*(3*(t/s)^2 - 2*(t/s)^3)

Since, k = s/t

p= 100 - 100*(3*k - 2)/k^3
  [#permalink] 13 Sep 2006, 02:53
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic If the length of an edge of cube X is twice the length of an Bunuel 4 07 Mar 2014, 03:46
12 Experts publish their posts in the topic A wooden cube whose edge length is 10 inches is composed of PatrickS 7 01 Nov 2013, 20:46
1 Experts publish their posts in the topic If the length of an edge of cube X is twice the length of an ksung84 3 03 Aug 2013, 19:20
If the length of each edge in a cube is increased by the jallenmorris 3 18 Nov 2008, 08:03
If half of sum of the length of the edges of a cube is 48, MA466 2 16 Jun 2006, 06:43
Display posts from previous: Sort by

A cube has edges that are s centimetres in length. Identical

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.