It is currently 09 Dec 2018, 11:05
My Tests

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.

The length of each edge of a cube equals 6. What is the dis

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5113
Followers: 76

Kudos [?]: 1017 [0], given: 4624

CAT Tests
The length of each edge of a cube equals 6. What is the dis [#permalink] New post 26 Aug 2017, 02:22
Expert's post
00:00

Question Stats:

70% (01:15) correct 30% (01:17) wrong based on 10 sessions


The length of each edge of a cube equals 6. What is the distance between the center of the cube to one of its vertices?

A. \(3 \sqrt{2}\)

B. \(6 \sqrt{2}\)

C. \(3 \sqrt{3}\)

D. \(4 \sqrt{3}\)

E. \(6 \sqrt{3}\)
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Intern
Intern
Joined: 03 Aug 2017
Posts: 5
Followers: 0

Kudos [?]: 4 [1] , given: 0

Re: The length of each edge of a cube equals 6. What is the dis [#permalink] New post 15 Sep 2017, 00:43
1
This post received
KUDOS
There is a shortcut for this The diagonal of Cube can be founded by the formula: Sqrt(Asqr+Bsqr+Csqr).Here A=B=C=6.
So diagonal is SQRT(36+36+36)=6sqrt3
from centre, Divide by 2.ie 3sqrt3.
Feel free to ask any questions.
Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 330 [0], given: 66

Re: The length of each edge of a cube equals 6. What is the dis [#permalink] New post 18 Sep 2017, 01:04
Pushkar96 wrote:
There is a shortcut for this The diagonal of Cube can be founded by the formula: Sqrt(Asqr+Bsqr+Csqr).Here A=B=C=6.
So diagonal is SQRT(36+36+36)=6sqrt3
from centre, Divide by 2.ie 3sqrt3.
Feel free to ask any questions.


It is even faster to remember that the diagonal of a cube is \(l*sqrt(3)\). Three dimensions, \(sqrt(3)\); while the square, two dimensions \(sqrt(2)\)
1 KUDOS received
Target Test Prep Representative
User avatar
Status: Head GRE Instructor
Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 4

Kudos [?]: 117 [1] , given: 0

Re: The length of each edge of a cube equals 6. What is the dis [#permalink] New post 21 May 2018, 10:30
1
This post received
KUDOS
Expert's post
Carcass wrote:


The length of each edge of a cube equals 6. What is the distance between the center of the cube to one of its vertices?

A. \(3 \sqrt{2}\)

B. \(6 \sqrt{2}\)

C. \(3 \sqrt{3}\)

D. \(4 \sqrt{3}\)

E. \(6 \sqrt{3}\)


The distance between the center of the cube to one of its vertices is half the length of the space diagonal of the cube. A space diagonal of a cube is the diagonal from one vertex of the cube to another vertex where the two vertices are not on the same face of the cube. Furthermore, if each edge of a cube has length s, then the space diagonal has a length of s√3.

We see that the space diagonal of the cube is 6√3, so half of that is 3√3.

Answer: C
_________________

Jeffery Miller
Head of GRE Instruction

GRE Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: The length of each edge of a cube equals 6. What is the dis   [#permalink] 21 May 2018, 10:30
Display posts from previous: Sort by

The length of each edge of a cube equals 6. What is the dis

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.