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

 It is currently 04 May 2015, 04:28

### 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
TAGS:
VP
Joined: 05 Jul 2008
Posts: 1433
Followers: 35

Kudos [?]: 254 [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
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: 1828
Location: New York
Followers: 29

Kudos [?]: 541 [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 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 [?]: 83 [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 [?]: 30 [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 1540 times ]

Re: Cube and Squares of the Cube   [#permalink] 18 Oct 2009, 16:44
Similar topics Replies Last post
Similar
Topics:
1 CUBES 3 11 Dec 2012, 03:21
Perfect Square/Cube 1 31 May 2011, 01:46
2 memorizing squares, cubes, etc. 7 27 Nov 2007, 04:28
5 Square ABCD is the base of the cube while square EFGH is the 7 26 Nov 2007, 23:24
cube root of 125)(cube root of 125) / (square root of 125) = 3 15 Oct 2005, 14:32
Display posts from previous: Sort by