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

It is currently 16 Sep 2014, 17:33

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 of side 5 cm is painted on all its sides . If it is s

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 18 [0], given: 8

GMAT Tests User
A cube of side 5 cm is painted on all its sides . If it is s [#permalink] New post 31 Jan 2012, 17:03
A cube of side 5 cm is painted on all its sides . If it is sliced into 1 cubic centimeter cube how many 1 cubic centimeter cubes will have exactly one of their sides painted ?

Could someone please explain the logic behind this problem ?
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Expert Post
Magoosh GMAT Instructor
User avatar
Joined: 28 Nov 2011
Posts: 305
Followers: 301

Kudos [?]: 467 [0], given: 2

GMAT Tests User CAT Tests
Re: A cube of side 5 cm is painted on all its sides . If it is s [#permalink] New post 31 Jan 2012, 18:17
Expert's post
This is definitely one of those tricky visualization problems :)

Imagine just one face of the 5x5 cube. (I'm imagining this massive Rubik's cube :-D )

Which of the 1x1 cubes will have paint on only one face? Only those which are not on the
edges - these will share a painted face with another side. The cubes that are not part of the
edge form a 3x3 grouping of 1cm cubes.

Therefore each face has 9 cubes that are painted one color.

Since there are 6 faces we get 6x9 = 54.

Hope that helps!
_________________

Christopher Lele
Magoosh Test Prep


Image

Image

Manager
Manager
avatar
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 18 [0], given: 8

GMAT Tests User
Re: A cube of side 5 cm is painted on all its sides . If it is s [#permalink] New post 01 Feb 2012, 00:09
Thanks a lot chris for the solution.
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Senior Manager
Senior Manager
User avatar
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 292
Location: India
Concentration: General Management, Entrepreneurship
Followers: 1

Kudos [?]: 83 [0], given: 16

Reviews Badge
Re: A cube of side 5 cm is painted on all its sides . If it is s [#permalink] New post 01 Feb 2012, 04:09
Why are we assuming that the cude is of 1 X 1 CM only? It is not mentioned in the question stem & we could have a cube of the same volume using various dimensions such as 0.1 x 2 x 5 thus changing our calculation completely
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4759
Location: Pune, India
Followers: 1112

Kudos [?]: 5035 [0], given: 164

Re: A cube of side 5 cm is painted on all its sides . If it is s [#permalink] New post 01 Feb 2012, 22:25
Expert's post
boomtangboy wrote:
Why are we assuming that the cude is of 1 X 1 CM only? It is not mentioned in the question stem & we could have a cube of the same volume using various dimensions such as 0.1 x 2 x 5 thus changing our calculation completely


'Cube' implies that every edge has the same length. So, length = breadth = height = 1

You are thinking 'cuboid' - a rectangular parallelepiped
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Re: A cube of side 5 cm is painted on all its sides . If it is s   [#permalink] 01 Feb 2012, 22:25
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic A cube of side 5cm is painted on all of its sides. If it is restore 10 01 Aug 2011, 07:23
Experts publish their posts in the topic A cube of side 5cm is painted on all its side. If it is Ravshonbek 2 17 Nov 2007, 15:23
3 Experts publish their posts in the topic A cube of side 5cm is painted on all its side. If it is sliced into 1 trahul4 12 09 Jul 2007, 06:26
A 5 cubic centimeter cube is painted on all its side. If it karlfurt 7 21 Sep 2006, 07:32
A large cube 10 cm on a side is composed of cubes 1 cm on a u2lover 8 14 Jul 2006, 14:09
Display posts from previous: Sort by

A cube of side 5 cm is painted on all its sides . If it is s

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.