It is currently 18 Oct 2017, 22:50

### 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: 170

Kudos [?]: 1402 [1], given: 182

Schools: University of Dhaka - Class of 2010
GPA: 3.63
What is the volume of the cube above? [#permalink]

### Show Tags

26 Oct 2010, 09:07
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:26) correct 14% (00:32) wrong based on 496 sessions

### HideShow timer Statistics

Attachment:

1026203817.jpg [ 224.64 KiB | Viewed 12691 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.

Kudos [?]: 1402 [1], given: 182

Manager
Joined: 08 Sep 2010
Posts: 223

Kudos [?]: 321 [1], given: 21

Location: India
WE 1: 6 Year, Telecom(GSM)

### Show Tags

26 Oct 2010, 09:19
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, 09:37, edited 2 times in total.

Kudos [?]: 321 [1], given: 21

Math Expert
Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128792 [0], given: 12183

### Show Tags

26 Oct 2010, 09:28
Expert's post
4
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.

_________________

Kudos [?]: 128792 [0], given: 12183

Math Expert
Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128792 [1], given: 12183

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

### Show Tags

20 Jun 2013, 06:23
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

_________________

Kudos [?]: 128792 [1], given: 12183

Current Student
Joined: 24 Nov 2012
Posts: 176

Kudos [?]: 358 [1], given: 73

Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Re: What is the volume of the cube above? [#permalink]

### Show Tags

21 Jun 2013, 00:17
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

Kudos [?]: 358 [1], given: 73

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16681

Kudos [?]: 273 [0], given: 0

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

### Show Tags

21 Jul 2014, 06:30
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.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16681

Kudos [?]: 273 [0], given: 0

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

### Show Tags

06 Oct 2015, 01:10
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.
_________________

Kudos [?]: 273 [0], given: 0

Senior Manager
Joined: 20 Aug 2015
Posts: 396

Kudos [?]: 336 [0], given: 10

Location: India
GMAT 1: 760 Q50 V44
Re: What is the volume of the cube above? [#permalink]

### Show Tags

07 Oct 2015, 04:16
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

Kudos [?]: 336 [0], given: 10

Director
Joined: 24 Nov 2015
Posts: 586

Kudos [?]: 36 [0], given: 231

Location: United States (LA)
Re: What is the volume of the cube above? [#permalink]

### Show Tags

26 May 2016, 15:22
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

Kudos [?]: 36 [0], given: 231

Director
Joined: 04 Jun 2016
Posts: 647

Kudos [?]: 365 [0], given: 36

GMAT 1: 750 Q49 V43
Re: What is the volume of the cube above? [#permalink]

### Show Tags

17 Jul 2016, 00:33
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. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 365 [0], given: 36

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16681

Kudos [?]: 273 [0], given: 0

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

### Show Tags

29 Aug 2017, 04:01
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.
_________________

Kudos [?]: 273 [0], given: 0

Director
Joined: 12 Nov 2016
Posts: 784

Kudos [?]: 35 [0], given: 164

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

### Show Tags

05 Sep 2017, 17:51
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

St 1

Basic formula =2lw +2wh +2lh

Because the shape is a cube l=w=h

suff

St 2

Just apply pythagorean theorem to find the height of the square

D

Kudos [?]: 35 [0], given: 164

Re: What is the volume of the cube above?   [#permalink] 05 Sep 2017, 17:51
Display posts from previous: Sort by