GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Jun 2018, 17:48

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Two equilateral triangles, each of area (√3), and three squares were

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Intern
Intern
avatar
Joined: 13 Jun 2014
Posts: 32
Concentration: General Management, Entrepreneurship
GMAT 1: 660 Q48 V33
Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post Updated on: 06 Nov 2014, 05:31
2
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (02:10) correct 36% (02:05) wrong based on 143 sessions

HideShow timer Statistics

Attachment:
Screen Shot 2014-11-06 at 12.59.51 am.png
Screen Shot 2014-11-06 at 12.59.51 am.png [ 7.79 KiB | Viewed 2453 times ]
Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...

Originally posted by vinraj on 05 Nov 2014, 12:34.
Last edited by Bunuel on 06 Nov 2014, 05:31, edited 1 time in total.
Renamed the topic and edited the question.
Economist GMAT Tutor Discount CodesEMPOWERgmat Discount CodesVeritas Prep GMAT Discount Codes
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46207
Re: Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post 06 Nov 2014, 05:50
1
1
vinraj wrote:
Image
Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...


Attachment:
VOLUME_WORD_PROBLEMS_01.GIF
VOLUME_WORD_PROBLEMS_01.GIF [ 3.65 KiB | Viewed 2162 times ]

The volume of a prism is (area of the base)*(height).

The area of equilateral triangle is \(side^2*\frac{\sqrt{3}}{4}\). Thus we have that \(side^2*\frac{\sqrt{3}}{4}=\sqrt{3}\) --> \(side=2\).

From the image given we can infer that the side of the triangles is also the side of the squares. Since the side of the square is the height of the prism, then the volume of the prism is (area of the base)*(height) = \(\sqrt{3}*2\).

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46207
Re: Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post 06 Nov 2014, 05:52
vinraj wrote:
Attachment:
Screen Shot 2014-11-06 at 12.59.51 am.png
Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...


3D Geometry Questions to practice.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
B
Joined: 26 Mar 2016
Posts: 77
Location: Greece
GMAT 1: 710 Q51 V34
GPA: 2.9
Reviews Badge
Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post 20 Dec 2016, 08:21
Hello bunuel, I calculated it as following:

Side of the triangle X=2 and height of the triangle is root3/2.
The area of the prism is length x width x height = 2 x 2 x root3/2 = 4root3/2=2root3.
Where am I wrong?

I probably misunderstood the "Prism" and thought it would be 3D.
_________________

+1 Kudos if you like the post :)

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46207
Re: Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post 20 Dec 2016, 09:15
arven wrote:
Hello bunuel, I calculated it as following:

Side of the triangle X=2 and height of the triangle is root3/2.
The area of the prism is length x width x height = 2 x 2 x root3/2 = 4root3/2=2root3.
Where am I wrong?

I probably misunderstood the "Prism" and thought it would be 3D.


Not sure what you did there. We need the volume of the prism not area. The volume of a prism is (area of the base)*(height) = \(\sqrt{3}*2\).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7010
Premium Member
Re: Two equilateral triangles, each of area (√3), and three squares were [#permalink]

Show Tags

New post 19 Jan 2018, 12:09
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

Re: Two equilateral triangles, each of area (√3), and three squares were   [#permalink] 19 Jan 2018, 12:09
Display posts from previous: Sort by

Two equilateral triangles, each of area (√3), and three squares were

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.