What is the volume of the cube above? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 02:47

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the volume of the cube above?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Feb 2010
Posts: 176
Schools: University of Dhaka - Class of 2010
GMAT 1: Q0 V0
GPA: 3.63
Followers: 61

Kudos [?]: 1178 [1] , given: 182

What is the volume of the cube above? [#permalink]

### Show Tags

26 Oct 2010, 08:07
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:24) correct 13% (00:35) wrong based on 363 sessions

### HideShow timer Statistics

Attachment:

1026203817.jpg [ 224.64 KiB | Viewed 10089 times ]
What is the volume of the cube above?

(1) The surface area of the cube is 600 square inches
(2) The length of diagonal AB is $$10\sqrt{3}$$ inches
[Reveal] Spoiler: OA

_________________

Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly

Critical Reasoning: http://gmatclub.com/forum/best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: http://gmatclub.com/forum/collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: http://gmatclub.com/forum/sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: http://gmatclub.com/forum/arithmatic-algebra-93678.html

I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Manager
Joined: 08 Sep 2010
Posts: 232
Location: India
WE 1: 6 Year, Telecom(GSM)
Followers: 4

Kudos [?]: 251 [1] , given: 21

### Show Tags

26 Oct 2010, 08:19
1
KUDOS
For volume of a cube ,we need to know the side of the cube as Volume of the cube is l^3 where l is side of the cube.

From (1)surface area is given means 6l^2 is given which is sufficient to get the value of l^3
From(2) length of diagonal l*sqrt(3) is given which is sufficient to get the value of l^3

Consider giving KUDOS if it is helpful to u.

Last edited by ankitranjan on 26 Oct 2010, 08:37, edited 2 times in total.
Math Expert
Joined: 02 Sep 2009
Posts: 36568
Followers: 7082

Kudos [?]: 93233 [0], given: 10553

### Show Tags

26 Oct 2010, 08:28
Expert's post
2
This post was
BOOKMARKED
What is the volume of the cube above?

Let the side of the cube be $$x$$, then the volume will be $$volume=x^3$$

(1) The surface area of the cube is 600 square inches --> surface area of a cube equals to {area of a face} * {# of faces} --> $$surface \ area=x^2*6=600$$, --> $$x=10$$--> $$volume=x^3=1,000$$. Sufficient.

(2) The length of diagonal AB is $$10\sqrt{3}$$ inches --> diagonal of a cube equals to $$Diagonal=\sqrt{x^2+x^2+x^2}=x\sqrt{3}=10\sqrt{3}$$ (x^2+x^2=square of a diagonal of a face and square of a diagonal of a face plus square of a side equals to diagonal of a cube) --> $$x=10$$--> $$volume=x^3=1,000$$. Sufficient.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36568
Followers: 7082

Kudos [?]: 93233 [1] , given: 10553

Re: What is the volume of the cube above? [#permalink]

### Show Tags

20 Jun 2013, 05:23
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

_________________
Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 42

Kudos [?]: 278 [1] , given: 73

Re: What is the volume of the cube above? [#permalink]

### Show Tags

20 Jun 2013, 23:17
1
KUDOS
A cube is defined by only one value which is the length of its side. The internal angles always remain 90. So once you have the side, all other parameters of the cube inluding surface areas, volume, diagonals etc can be derived or alternatively once you have any of the other parameters the side can be derived. Straight D 5 sec answer.
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: What is the volume of the cube above? [#permalink]

### Show Tags

21 Jul 2014, 05:30
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 Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: What is the volume of the cube above? [#permalink]

### Show Tags

06 Oct 2015, 00:10
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.
_________________
Senior Manager
Joined: 20 Aug 2015
Posts: 398
Location: India
GMAT 1: 760 Q50 V44
Followers: 25

Kudos [?]: 213 [0], given: 10

Re: What is the volume of the cube above? [#permalink]

### Show Tags

07 Oct 2015, 03:16
Expert's post
1
This post was
BOOKMARKED
Reequired: Volume of the cube

A cube has all the sides equal and each surface is a square. Hence if we find the side of the cube, we can find the volume

Statement 1:
Surface are of the cube is 600 square inches

Total surfaces of a cube = 6.
Total surface area = 600.
Hence area of one side = 100.

Therefore the side = 10
Volume of cube = (Side)^3 = 1000
SUFFICIENT

Statement 2:
AB = $$10 \sqrt{3}$$

Diagonal of a cube = $$\sqrt{3}$$*side
Hence we have side = 10
Volume = (Side)^3 = 1000
SUFFICIENT

Option D
_________________

Reach out to us at bondwithus@gmatify.com

Director
Joined: 24 Nov 2015
Posts: 564
Location: United States (LA)
Concentration: General Management, Marketing
GMAT 1: 700 Q49 V36
GRE 1: 328 Q167 V161
Followers: 11

Kudos [?]: 25 [0], given: 222

Re: What is the volume of the cube above? [#permalink]

### Show Tags

26 May 2016, 14:22
we have find volume of given cube

Statement 1 gives information about the total surface area of the cube = 600 sq.inches
we know that cube has 6 equal faces area of single face = 100 which in turn gives us the side as 10 inches
Volume of cube = 1000 cu.inches
So sufficient

Statement 2 gives the length of longest diagonal of the cube as 10 *$$\sqrt{3}$$
this in turn gives us the side as 10 inches
Volume of cube = 1000 cu.inches
So sufficient

Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 50

Kudos [?]: 199 [0], given: 36

Re: What is the volume of the cube above? [#permalink]

### Show Tags

16 Jul 2016, 23:33
monirjewel wrote:
Attachment:
1026203817.jpg
What is the volume of the cube above?

(1) The surface area of the cube is 600 square inches
(2) The length of diagonal AB is $$10\sqrt{3}$$ inches

ANSWER IS D since each statements are sufficient alone on their own .

(1) The surface area of the cube is 600 square inches
$$6a^2=600$$

a=10
$$V=a^3==>10^3$$ =1000 Units
SUFFICIENT

(2) The length of diagonal AB is $$10\sqrt{3}$$ inches
$$d=a\sqrt{3}$$
$$a\sqrt{3}=10\sqrt{3}$$

a=10
$$V=10^3$$

SUFFICIENT

BOTH SUFFICIENT ALONE
_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016.

Re: What is the volume of the cube above?   [#permalink] 16 Jul 2016, 23:33
Similar topics Replies Last post
Similar
Topics:
What is the volume of cube C? 1 12 Sep 2016, 03:37
2 Q is a cube. Find the volume of the cube. 6 24 Feb 2015, 07:00
6 What is the volume of a certain cube? 4 11 Aug 2014, 04:00
9 What is the volume of a certain cube? 8 10 Dec 2013, 13:12
What is the volume of a cube with edge e? (1) The value of 2 26 Nov 2010, 06:24
Display posts from previous: Sort by