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

 It is currently 02 Sep 2015, 16:11

### 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

# Cube and Squares of the Cube

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
VP
Joined: 05 Jul 2008
Posts: 1431
Followers: 36

Kudos [?]: 272 [0], given: 1

Cube and Squares of the Cube [#permalink]  09 May 2009, 15:30
00:00

Difficulty:

(N/A)

Question Stats:

50% (00:00) correct 50% (00:00) wrong based on 3 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Square ABCD is the base of the cube while square EFGH is the cube's top facet such that point E is above point A, point F is above point B etc. What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2?

* $$\frac{1}{\sqrt{2}}$$
* 1
* $$\sqrt{2}$$
* $$\sqrt{3}$$
* $$2\sqrt{3}$$
SVP
Joined: 07 Nov 2007
Posts: 1824
Location: New York
Followers: 29

Kudos [?]: 593 [0], given: 5

Re: Cube and Squares of the Cube [#permalink]  09 May 2009, 23:57
icandy wrote:
Square ABCD is the base of the cube while square EFGH is the cube's top facet such that point E is above point A, point F is above point B etc. What is the distance between the midpoint of edge AB and the midpoint of edge EH if the area of square ABCD is 2?

* $$\frac{1}{\sqrt{2}}$$
* 1
* $$\sqrt{2}$$
* $$\sqrt{3}$$
* $$2\sqrt{3}$$

mathmatical approach:

say midpoint of AB = X
mid point of AD =Y
mid point of EF= Z
distance between X AND y = sqrt ((1/sqrt(2) )^2 +(1/sqrt(2) )^2) =1
distance between Z ABD X = sqrt((1)^2 +(sqrt(2))^2) =sqrt(3)
_________________

Smiling wins more friends than frowning

Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 222
Schools: RD 2: Darden Class of 2012
Followers: 3

Kudos [?]: 110 [0], given: 2

Re: Cube and Squares of the Cube [#permalink]  15 Oct 2009, 08:20
I'm going to say sqrt 3.

The distance between midpoint AB and midpoint AD is a pythagorum theorum.

Since Area of ABCD is 2 we know each side is sqrt 2.
Therefore midpoint AB = .5 \sqrt{2} and AD = .5 \sqrt{2}

Therefore distance between midpoints AB and AD is sqrt 2
Midpoint between EH and AD is also sqrt 2 (straight line) Add them together and we get 2

We now know that since it is being cut through the square the distance is less 2 but definately more than sqrt 2.

Only sqrt 3 give this answer.
Manager
Joined: 12 Oct 2009
Posts: 115
Followers: 2

Kudos [?]: 35 [0], given: 3

Re: Cube and Squares of the Cube [#permalink]  15 Oct 2009, 10:21
option 4 i.e sqrt 3 should be the answer
Manager
Joined: 02 Oct 2009
Posts: 197
Followers: 1

Kudos [?]: 16 [1] , given: 4

Re: Cube and Squares of the Cube [#permalink]  18 Oct 2009, 16:44
1
KUDOS
D

YZ= 1
XY= \sqrt{2}
xz=\sqrt{3}
Attachments

78382.jpg [ 9.58 KiB | Viewed 1642 times ]

Re: Cube and Squares of the Cube   [#permalink] 18 Oct 2009, 16:44
Display posts from previous: Sort by

# Cube and Squares of the Cube

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.