GMAT Changed on April 16th - Read about the latest changes here

It is currently 22 Apr 2018, 03:40

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the cube shown above, what is the length of diagonal AB?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44600
In the cube shown above, what is the length of diagonal AB? [#permalink]

Show Tags

New post 04 Dec 2017, 23:02
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:14) correct 16% (01:05) wrong based on 45 sessions

HideShow timer Statistics

Image
In the cube shown above, what is the length of diagonal AB?

(A) 1
(B) √2
(C) √3
(D) 2√2
(E) 3

[Reveal] Spoiler:
Attachment:
2017-12-05_0959.png
2017-12-05_0959.png [ 6.73 KiB | Viewed 615 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
B
Joined: 16 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
Re: In the cube shown above, what is the length of diagonal AB? [#permalink]

Show Tags

New post 05 Dec 2017, 00:22
Bunuel wrote:
Image
In the cube shown above, what is the length of diagonal AB?

(A) 1
(B) √2
(C) √3
(D) 2√2
(E) 3

[Reveal] Spoiler:
Attachment:
2017-12-05_0959.png


\((one side diagonal)^2 = 1^2 + 1^2 = 2\)
(\(Cube's diagonal)^2 = 1^2 + 2 = 3\) => Hence, \(\sqrt3\) is the answer
SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1547
Premium Member CAT Tests
In the cube shown above, what is the length of diagonal AB? [#permalink]

Show Tags

New post 05 Dec 2017, 09:20
Bunuel wrote:
Image
In the cube shown above, what is the length of diagonal AB?

(A) 1
(B) √2
(C) √3
(D) 2√2
(E) 3

[Reveal] Spoiler:
Attachment:
2017-12-05_0959.png

To find the length of a space diagonal, \(d\), (corner to corner between non-adjacent faces), use a variation of the Pythagorean theorem:

\(L^2 + H^2 + W^2= d^2\)

\(L = H = W = 1\)


\(L^2 + H^2 + W^2= d^2\)
\(3 = d^2\)
\(d = \sqrt{3}\)


Answer C
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Intern
Intern
avatar
B
Joined: 26 Oct 2017
Posts: 28
Re: In the cube shown above, what is the length of diagonal AB? [#permalink]

Show Tags

New post 05 Dec 2017, 09:26
Using PGT twice

Diagonal of cube is (side) */root 3/

Imo C


Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 25 May 2017
Posts: 10
GMAT 1: 750 Q49 V44
Re: In the cube shown above, what is the length of diagonal AB? [#permalink]

Show Tags

New post 05 Dec 2017, 11:56
Formula for the diagonal of a cube is always:

a\(\sqrt{3}\) where a is the side

Therefore it is just -

= 1\(\sqrt{3}\)

= \(\sqrt{3}\)

Answer is C

Note: Diagonal-focused questions are *very* common on the GMAT both for cubes and cuboids so memorizing this formula can take you a long way. Diagonals of cubes are also sometimes referred to as "longest distance between two points within a cube".
_________________

GmatIvyPrep
Yale MBA Graduate and GMAT-Focused Tutor for 4+ years
Contact: gmativyprep@gmail.com for a consultation and private tutoring rates

Image

Material offered free of charge along with full end-to-end GMAT Quantitative Course:
- High-level (700+) practice question sets for Quantitative section by topic
- AWA writing template that helped students get a full score on the Essay
- Complete pack of Verbal Material for SC, RC and CR

Re: In the cube shown above, what is the length of diagonal AB?   [#permalink] 05 Dec 2017, 11:56
Display posts from previous: Sort by

In the cube shown above, what is the length of diagonal AB?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.