It is currently 20 Sep 2017, 04:25

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

The bases of a certain prism are equilateral triangles, and the sides

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41631

Kudos [?]: 124106 [0], given: 12071

The bases of a certain prism are equilateral triangles, and the sides [#permalink]

Show Tags

New post 08 Sep 2016, 04:24
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:45) correct 31% (02:26) wrong based on 36 sessions

HideShow timer Statistics

Image
The bases of a certain prism are equilateral triangles, and the sides of that prism are rectangles. If the area of each of the bases of the prism is 9√3 and the volume of the prism 18√3, then what is the area of one side of the prism?

A. 12
B. 12√3
C. 36
D. 36√3
E. 72

[Reveal] Spoiler:
Attachment:
T6283.png
T6283.png [ 3.84 KiB | Viewed 649 times ]
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 124106 [0], given: 12071

1 KUDOS received
Intern
Intern
avatar
Joined: 08 Jun 2013
Posts: 35

Kudos [?]: 7 [1], given: 15

Re: The bases of a certain prism are equilateral triangles, and the sides [#permalink]

Show Tags

New post 08 Sep 2016, 05:13
1
This post received
KUDOS
Area of equilateral triangle is √3/4a^2= 9√3
=> a^2 = 9×4 => a=6 which is base of rectangle
Vol of prism = area of triangle ×height
=> 18√3 = 9√3 × h
=> h = 2 which is length of rectangle
So, area of side = 6×2 =12
A is the answer


Sent from my A0001 using GMAT Club Forum mobile app

Kudos [?]: 7 [1], given: 15

Director
Director
avatar
S
Joined: 26 Nov 2012
Posts: 581

Kudos [?]: 157 [0], given: 45

Premium Member CAT Tests
Re: The bases of a certain prism are equilateral triangles, and the sides [#permalink]

Show Tags

New post 08 Sep 2016, 05:19
Bunuel wrote:
Image
The bases of a certain prism are equilateral triangles, and the sides of that prism are rectangles. If the area of each of the bases of the prism is 9√3 and the volume of the prism 18√3, then what is the area of one side of the prism?

A. 12
B. 12√3
C. 36
D. 36√3
E. 72

[Reveal] Spoiler:
Attachment:
T6283.png


Volume of triangular prism is v = b* h

we have base 9√3 and volume is 18√3

We get height as 18√3 = 9√3 * h => h = 2.

Equilateral triangle is √3 / 4* (a^2) = 9√3 ( since base is equilateral traingle)

a^2 = 36 => a = 6.

Now rectangle area is lb = 2*6 = 12.

IMO option A.

Kudos [?]: 157 [0], given: 45

Intern
Intern
avatar
Joined: 20 Jul 2016
Posts: 24

Kudos [?]: 1 [0], given: 4

Re: The bases of a certain prism are equilateral triangles, and the sides [#permalink]

Show Tags

New post 08 Sep 2016, 05:28
base of prism is an equilateral triangle:
Area = √3/4 * (Side)^2 = 9√3
so side = 6

Volume of this prism = Area of base * height
18√3 = 9√3 * height
So height = 2

Therefore Area of one side of prism = 2*6 = 12

Option A

Is this right?

Kudos [?]: 1 [0], given: 4

CEO
CEO
User avatar
G
Joined: 17 Jul 2014
Posts: 2589

Kudos [?]: 379 [0], given: 177

Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: The bases of a certain prism are equilateral triangles, and the sides [#permalink]

Show Tags

New post 09 Aug 2017, 15:25
applying properties of an equilateral triangle:
s^2 * sqrt(3) / 4 = 9 * sqrt(3)
that means that s=6.
knowing the volume, we can find the height, which is 2.
therefore, 6*2 = 12 - area of one side.

Kudos [?]: 379 [0], given: 177

Re: The bases of a certain prism are equilateral triangles, and the sides   [#permalink] 09 Aug 2017, 15:25
    Similar topics Author Replies Last post
Similar
Topics:
1 EXPERTS_POSTS_IN_THIS_TOPIC If the height of an equilateral triangle is the side of a right triang Bunuel 3 04 Sep 2016, 08:15
13 EXPERTS_POSTS_IN_THIS_TOPIC In the diagram above, the triangle is equilateral with a side of 2... DensetsuNo 16 28 Aug 2017, 04:55
18 An equilateral triangle of side 12 is inscribed in a circle gmatjon 9 27 Mar 2017, 12:58
8 EXPERTS_POSTS_IN_THIS_TOPIC In the figure above, triangle CDE is an equilateral triangle with side Bunuel 7 22 Apr 2017, 04:27
2 EXPERTS_POSTS_IN_THIS_TOPIC Right triangle ABC is the base of the prism in the figure above. If AB Bunuel 2 26 Sep 2016, 04:09
Display posts from previous: Sort by

The bases of a certain prism are equilateral triangles, and the sides

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.