Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 05:40

### 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

Author Message
VP
Joined: 05 Jul 2008
Posts: 1409
Followers: 39

Kudos [?]: 388 [0], given: 1

Cube and Squares of the Cube [#permalink]

### Show Tags

09 May 2009, 16:30
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

75% (01:57) correct 25% (00:00) wrong based on 12 sessions

### HideShow timer Statistics

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: 1806
Location: New York
Followers: 38

Kudos [?]: 933 [0], given: 5

Re: Cube and Squares of the Cube [#permalink]

### Show Tags

10 May 2009, 00:57
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 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: 221
Schools: RD 2: Darden Class of 2012
Followers: 3

Kudos [?]: 240 [0], given: 2

Re: Cube and Squares of the Cube [#permalink]

### Show Tags

15 Oct 2009, 09:20
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 [?]: 65 [0], given: 3

Re: Cube and Squares of the Cube [#permalink]

### Show Tags

15 Oct 2009, 11:21
option 4 i.e sqrt 3 should be the answer
Manager
Joined: 02 Oct 2009
Posts: 193
Followers: 1

Kudos [?]: 20 [1] , given: 4

Re: Cube and Squares of the Cube [#permalink]

### Show Tags

18 Oct 2009, 17:44
1
KUDOS
D

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

78382.jpg [ 9.58 KiB | Viewed 1967 times ]

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15459
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: Cube and Squares of the Cube [#permalink]

### Show Tags

25 Dec 2016, 21:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Cube and Squares of the Cube   [#permalink] 25 Dec 2016, 21:05
Display posts from previous: Sort by