Last visit was: 03 Jan 2025, 05:43 It is currently 03 Jan 2025, 05:43
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

The cube above has volume equal to 64 cubic feet. If Points M and N ar

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30581
Own Kudos [?]: 36928 [1]
Given Kudos: 26116
Send PM
The cube above has volume equal to 64 cubic feet. If Points M and N ar [#permalink] New post   09 Jun 2021, 00:39
Expert Reply
1
Bookmarks
00:00

Question Stats:

62% (02:09) correct 37% (02:07) wrong based on 27 sessions

Hide Show timer Statistics

Attachment:
GRE The cube above.png
GRE The cube above.png [ 7.2 KiB | Viewed 2719 times ]


The cube above has volume equal to 64 cubic feet. If Points M and N are the midpoints of two edges of the cube, what is length MN, in feet?

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

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

C. \(4 \sqrt{6}\)

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

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


Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
ShowHide Answer
Official Answer
E
Most Helpful Community Reply
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3278 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
The cube above has volume equal to 64 cubic feet. If Points M and N ar [#permalink] New post   09 Jun 2021, 10:58
3
Carcass wrote:
Attachment:
The attachment GRE The cube above.png is no longer available


The cube above has volume equal to 64 cubic feet. If Points M and N are the midpoints of two edges of the cube, what is length MN, in feet?

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

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

C. \(4 \sqrt{6}\)

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

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


Let the edge length of cube be \(a\)

Give, \(a^3 = 64\) i.e. \(a = 4\)

Refer to the figure below;
\(MN = \sqrt{x^2 + y^2 + z^2} = \sqrt{2^2 + 4^2 + 2^2}\)
\(MN = \sqrt{24} = 2\sqrt{6}\)

Hence, option E
Attachments

The cube above has volume equal to 64 cubic feet.png
The cube above has volume equal to 64 cubic feet.png [ 6.29 KiB | Viewed 2731 times ]

General Discussion
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5089
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: The cube above has volume equal to 64 cubic feet. If Points M and N ar [#permalink] New post   08 Nov 2022, 01:49
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: The cube above has volume equal to 64 cubic feet. If Points M and N ar [#permalink]
08 Nov 2022, 01:49
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1126 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact