NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 07:46 It is currently 26 Apr 2024, 07:46
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.

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92935
Own Kudos [?]: 619177 [2]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Q is a cube. Find the volume of the cube. [#permalink] New post   24 Feb 2015, 08:00
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

91% (00:34) correct 9% (00:55) wrong based on 337 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
D
User avatar
B
ynaikavde
Manager
Manager
Joined: 22 Jul 2011
Status:Gmat Prep
Posts: 71
Own Kudos [?]: 280 [0]
Given Kudos: 42
Send PM
GMAT ToolKit User
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   24 Feb 2015, 08:18
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: 98
Own Kudos [?]: 136 [2]
Given Kudos: 236
Concentration: Technology, Finance
WE:Analyst (Other)
Send PM
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   24 Feb 2015, 08:25
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
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92935
Own Kudos [?]: 619177 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   02 Mar 2015, 07:19
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.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92935
Own Kudos [?]: 619177 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   02 Mar 2015, 07:29
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.
User avatar
vikrantgulia
Manager
Manager
Joined: 18 Oct 2013
Posts: 62
Own Kudos [?]: 266 [0]
Given Kudos: 36
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)
Send PM
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   05 May 2015, 20:08
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: 408
Own Kudos [?]: 125 [0]
Given Kudos: 231
Location: United States (LA)
Send PM
Reviews Badge
Q is a cube. Find the volume of the cube. [#permalink] New post   26 May 2016, 14:59
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: 32685
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Q is a cube. Find the volume of the cube. [#permalink] New post   10 Apr 2021, 04:22
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 Club Bot
gmatclubot
Re: Q is a cube. Find the volume of the cube. [#permalink]
10 Apr 2021, 04:22
Moderator:
Bunuel
Math Expert
92933 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