NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 14:47 It is currently 23 Apr 2024, 14:47
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The figure above is a cube. What is the measure of angle BEG

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
MHIKER
Director
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 972
Own Kudos [?]: 4927 [90]
Given Kudos: 690
Concentration: Accounting
Send PM
The figure above is a cube. What is the measure of angle BEG [#permalink] New post   18 Jan 2012, 11:39
4
Kudos
86
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

45% (01:03) correct 55% (01:15) wrong based on 1244 sessions
Hide Show timer Statistics

The figure above is a cube. What is the measure of angle BEG (not shown)?

A. 30°
B. 45°
C. 60°
D. 75°
E. 90°


Show Spoiler
Attachment:
Cube.jpg
Cube.jpg [ 21.46 KiB | Viewed 30624 times ]
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [17]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
The figure above is a cube. What is the measure of angle BEG [#permalink] New post   18 Jan 2012, 11:47
7
Kudos
10
Bookmarks
Expert Reply
Baten80 wrote:


The figure above is a cube. What is the measure of angle BEG (not shown)?

A. 30°
B. 45°
C. 60°
D. 75°
E. 90°


Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [12]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   26 Mar 2012, 07:32
8
Kudos
4
Bookmarks
Expert Reply
htbreme wrote:
Hi everyone,
I wanted to make you a quick and apparently easy question that it's giving me a hard time:

What is the angle formed by the diagonals of to perpendicular faces of a cube?

I know the answer but I can't visualize why that's the answer

Source: local GMAT course

Thanks in advance


Added a question about this issue for a better understating.

Attachment:
Cube.jpg
Cube.jpg [ 30.11 KiB | Viewed 31785 times ]
The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°

Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.

Hope it helps.
General Discussion
User avatar
htbreme
Intern
Intern
Joined: 31 Jan 2010
Posts: 31
Own Kudos [?]: 11 [1]
Given Kudos: 3
Send PM
The figure above is a cube. What is the measure of angle BEG [#permalink] New post   Updated on: 11 Mar 2018, 11:11
1
Kudos
Attachment:
Cube - Q.jpg
Cube - Q.jpg [ 21.46 KiB | Viewed 29677 times ]
The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°

Hi everyone,
I wanted to make you a quick and apparently easy question that it's giving me a hard time:

What is the angle formed by the diagonals of to perpendicular faces of a cube?

I know the answer but I can't visualize why that's the answer

Source: local GMAT course

Thanks in advance

Originally posted by htbreme on 26 Mar 2012, 06:25.
Last edited by Bunuel on 11 Mar 2018, 11:11, edited 3 times in total.
Added a question, diagram and OA
avatar
B
bicu17
Intern
Intern
Joined: 30 Apr 2011
Posts: 11
Own Kudos [?]: 17 [0]
Given Kudos: 0
Send PM
Reviews Badge
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   31 Mar 2012, 11:16
Bunuel wrote:
htbreme wrote:
Hi everyone,
I wanted to make you a quick and apparently easy question that it's giving me a hard time:

What is the angle formed by the diagonals of to perpendicular faces of a cube?

I know the answer but I can't visualize why that's the answer

Source: local GMAT course

Thanks in advance


Added a question about this issue for a better understating.

Attachment:
Cube.jpg
The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°

Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.

Hope it helps.


Why isn't it 90? Since two diagonals bisect two 90 degree angles would the x angle equal to 90? I understand your explanation, but would like to understand why my thinking is wrong? Thank you.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [1]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   31 Mar 2012, 12:12
1
Bookmarks
Expert Reply
bohdan01 wrote:
Bunuel wrote:
htbreme wrote:
Hi everyone,
I wanted to make you a quick and apparently easy question that it's giving me a hard time:

What is the angle formed by the diagonals of to perpendicular faces of a cube?

I know the answer but I can't visualize why that's the answer

Source: local GMAT course

Thanks in advance


Added a question about this issue for a better understating.

Attachment:
The attachment Cube.jpg is no longer available
The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°

Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.

Hope it helps.


Why isn't it 90? Since two diagonals bisect two 90 degree angles would the x angle equal to 90? I understand your explanation, but would like to understand why my thinking is wrong? Thank you.


It would be correct for 2-D geometry, meaning the angle between two diagonals below is indeed 90 degrees:
Attachment:
Squares.png
Squares.png [ 2.5 KiB | Viewed 28602 times ]
But in 3-D geometry 2 faces are already 90 degrees to each other thus their diagonals would not form 90 degrees any more.

Hope it's clear.
avatar
B
gillyelephant
Intern
Intern
Joined: 08 Oct 2016
Posts: 46
Own Kudos [?]: 3 [1]
Given Kudos: 38
Schools: Ross '19 (I) Yale '19 (S) Stern '19 (D) Darden '19 (S) CBS '19 (D) Jones '19 (M)
Send PM
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   05 Nov 2016, 02:35
1
Kudos
I don't understand this question. Where is there a triangle/an angle for BEG?

Posted from my mobile device
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [2]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   05 Nov 2016, 02:44
2
Kudos
Expert Reply
gillyelephant wrote:
I don't understand this question. Where is there a triangle/an angle for BEG?

Posted from my mobile device




Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13376 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   05 Nov 2016, 04:51
1
Kudos
Expert Reply
Baten80 wrote:
Attachment:
The attachment Cube.jpg is no longer available

The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°



Please find the solution as attached
Attachments

File comment: www.GMATinsight.com
Answer 3.jpg
Answer 3.jpg [ 58.96 KiB | Viewed 22202 times ]

User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6270 [2]
Given Kudos: 1646
Send PM
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   07 Nov 2016, 17:19
2
Kudos
Expert Reply
Baten80 wrote:
Attachment:
Cube.jpg

The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°


Since our given figure is a cube, we must recall that a cube is made up of 6 squares, which of course have all equal sides. We need to determine the measure of angle BEG. Let’s draw that angle in a diagram:



From our diagram we can see that we can actually create a triangle using angle BEG with sides BE, EG, and GB. Notice that each side is the diagonal of a square face of the cube and thus is equal in length. Therefore, we know that triangle BEG is an equilateral triangle and furthermore that angle BEG is 60 degrees.

Answer: C
User avatar
G
Regor60
Senior Manager
Senior Manager
Joined: 21 Nov 2021
Posts: 437
Own Kudos [?]: 209 [0]
Given Kudos: 343
Send PM
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   09 Jun 2022, 13:07
Easier to visualize if you consider GDB angle so that the telescoped perspective doesn't throw you off.

Posted from my mobile device
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32627
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: The figure above is a cube. What is the measure of angle BEG [#permalink] New post   30 Jun 2023, 11:44
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.
GMAT Club Bot
gmatclubot
Re: The figure above is a cube. What is the measure of angle BEG [#permalink]
30 Jun 2023, 11:44
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions