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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The cube above has volume equal to 64 cubic feet. If Points M and N ar
[#permalink]
09 Jun 2021, 00:39
09 Jun 2021, 00:39
Expert Reply
1
Bookmarks
00:00
Question Stats:
63% (02:05) correct
36% (02:07) wrong based on 30 sessions
Hide Show timer Statistics
Attachment:
GRE The cube above.png [ 7.2 KiB | Viewed 3692 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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The cube above has volume equal to 64 cubic feet. If Points M and N ar
[#permalink]
09 Jun 2021, 10:58
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 [ 6.29 KiB | Viewed 3803 times ]
General Discussion
Re: The cube above has volume equal to 64 cubic feet. If Points M and N ar
[#permalink]
08 Nov 2022, 01:49
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.
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.
