GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 17 May 2021, 21:37
Register
GMAT Club Tests
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
Q is a cube. Find the volume of the cube.
8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 75111
CAT Tests Top Member of the Month
Q is a cube. Find the volume of the cube. [#permalink] New post  24 Feb 2015, 07:00
2
Bookmarks
Expert Reply
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

90% (00:35) correct 10% (00:57) wrong based on 274 sessions

Hide Show timer Statistics

Q is a cube. Find the volume of the cube.

(1) The total surface area of Q is 150 sq cm
(2) The distance from one vertex of Q to the catty-corner opposite vertex is 5*sqrt(3)


Kudos for a correct solution.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
B
ynaikavde
Manager
Manager
Joined: 22 Jul 2011
Status:Gmat Prep
Posts: 74
GMAT ToolKit User
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  24 Feb 2015, 07:18
Let x be side of the cube.
1) The total surface area of cube = 6*x^2 =we can use this get x and the volume
2) diagonal connecting opposite corner =x*sqrt(3) =(sqrt(x^2+(xsqrt(2))^2))= 5 sqrt(3) we can use this get x and the volume

answer>> D
User avatar
sterling19
Manager
Manager
Joined: 14 Sep 2014
Posts: 100
Concentration: Technology, Finance
WE:Analyst (Other)
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  24 Feb 2015, 07:25
2
Kudos
The correct answer is D. If we have one side of a cube, we can find the volume: \(V = s^3\)

(1) SA of one side of the cube is \(150/6 = 25\)
SA of one side of a cube is \(s^2\) so \(s^2 = 25\) and \(s = 5\) [Sufficient]

(2) Diagonal of a cube is \(\sqrt{3(s^2)}\) = \(5\sqrt{3}\)
\((5\sqrt{3})^2\) = \(25*3\) = \(75\) so \(3s^2 = 75\)
\(s^2 = 25\) and \(s = 5\) [Sufficient]
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 75111
CAT Tests Top Member of the Month
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  02 Mar 2015, 06:19
1
Bookmarks
Expert Reply
Bunuel wrote:
Q is a cube. Find the volume of the cube.

(1) The total surface area of Q is 150 sq cm
(2) The distance from one vertex of Q to the catty-corner opposite vertex is 5*sqrt(3)


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

Another simple prompt, and again, we need the volume.

Statement #1 tells us surface area is 150. Well, for a cube, SA = 6s^2. If we know 150 = 6s^2, we can solve for s, which will allow us to calculate the volume. Statement #1 is by itself sufficient.

Statement #2 tell us the space diagonal has a length of \(5*\sqrt{3}\). Well, the three-dimensional version of the Pythagorean Theorem tell us that:

\((5*\sqrt{3})^2 = s^2 + s^2 + s^2\)

That would allow us to solve for s, which would allow us to calculate the volume. Statement #2 is by itself sufficient.

Both statements sufficient by themselves. Answer = D.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 75111
CAT Tests Top Member of the Month
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  02 Mar 2015, 06:29
Expert Reply
Bunuel wrote:
Q is a cube. Find the volume of the cube.

(1) The total surface area of Q is 150 sq cm
(2) The distance from one vertex of Q to the catty-corner opposite vertex is 5*sqrt(3)


Kudos for a correct solution.


Check other 3-D Geometry Questions in our Special Questions Directory.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
vikrantgulia
Manager
Manager
Joined: 18 Oct 2013
Posts: 65
Location: India
Concentration: Technology, Finance
Schools: Duke '16, Schulich '15, Neeley '15, Erasmus '16, HKUST '16, Johnson '16, HSG '15, Marshall '16, Kelley '16, Insead '14, McDonough '16, Tepper '16, IE April'15
GMAT 1: 580 Q48 V21
GMAT 2: 530 Q49 V13
GMAT 3: 590 Q49 V21
WE:Information Technology (Computer Software)
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  05 May 2015, 19:08
It was an easy one.
Given: Q is a cube , so all sides are equal.
A) We know the surface area so length of a side can be calculated. SO A is sufficient. A or D can be the only answer . rule out B,C ,and E.
B) We know the diagonal length so again we can calculate the side length and gets volume of the cube. SO B is also sufficient.

A and B alone are sufficient. D is the answer
User avatar
G
rhine29388
Senior Manager
Senior Manager
Joined: 24 Nov 2015
Posts: 450
Location: United States (LA)
Reviews Badge
Q is a cube. Find the volume of the cube. [#permalink] New post  26 May 2016, 13:59
Given that Q is a cube we have find its volume

Statement 1 gives information about the total surface area of the cube = 150 sq.cm
we know that cube has 6 equal faces area of single face = 25 which in turn gives us the side as 5 cm
Volume of cube = 125 cu.cm
So sufficient

Statement 2 gives the length of longest diagonal of the cube as 5 *\(\sqrt{3}\)
this in turn gives us the side as 5 cm
Volume of cube = 125 cu.cm
So sufficient

Correct Answer - D
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 19043
Re: Q is a cube. Find the volume of the cube. [#permalink] New post  10 Apr 2021, 03:22
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: Q is a cube. Find the volume of the cube. [#permalink]
10 Apr 2021, 03:22
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9847 posts
Bunuel
Math Expert
75111 posts
GMATBusters
Retired Moderator
1992 posts
nick1816
DS Forum Moderator
2273 posts

cron

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