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

It is currently 16 Dec 2018, 03:37

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics

In the figure above, the base of the uniform solid is a right triangle

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51223
In the figure above, the base of the uniform solid is a right triangle  [#permalink]

Show Tags

New post 29 Dec 2015, 06:55
1
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:40) correct 31% (01:58) wrong based on 142 sessions

HideShow timer Statistics

Image
In the figure above, the base of the uniform solid is a right triangle with sides of lengths 3, 4, and 5. If the volume of the solid is 30, what is the total surface area?

A. 30
B. 36
C. 47
D. 60
E. 72

Attachment:
2015-12-29_1853.png
2015-12-29_1853.png [ 10.47 KiB | Viewed 2562 times ]

_________________

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

Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: In the figure above, the base of the uniform solid is a right triangle  [#permalink]

Show Tags

New post 29 Dec 2015, 10:04
1
[quote="Bunuel"]Image
In the figure above, the base of the uniform solid is a right triangle with sides of lengths 3, 4, and 5. If the volume of the solid is 30, what is the total surface area?

volume=30=1/2 * 3*4*h
h=5

SA= 1/2 *3*4*2 + 3*5 + 5*4 + 5*5
SA=72


E. 72
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13095
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In the figure above, the base of the uniform solid is a right triangle  [#permalink]

Show Tags

New post 02 Jan 2016, 17:40
1
1
Hi All,

This question is built around a series of standard Geometry Formulas. As long as you keep track of the 'steps' involved, you'll find the math to be fairly straight-forward. Here are some 'hints' to help you get through it in an organized fashion.

1) Volume of any 'uniform solid' is... V = (area of the 'base')(height). Using this formula, you can find the height of the solid in this question.
2) We're asked for the SURFACE AREA of this solid, so we need the individual areas of ALL 5 sides...
3) The area of the 'bottom' and 'top' are the same triangle (we're told that it's a RIGHT TRIANGLE, so you can figure out it's area using A = (1/2)(length)(width)).
4) The areas of the three 'sides' are 3 different rectangles (and each has an area of A = (base)(height).
5) Finally, just add up all 5 areas and you'll have the Total Surface Area.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Intern
Intern
avatar
B
Joined: 23 Aug 2016
Posts: 48
Re: In the figure above, the base of the uniform solid is a right triangle  [#permalink]

Show Tags

New post 30 Apr 2017, 13:40
Volume = Area of Base * height
30 = (3*4)/2 * h
h = 5

Using this information and the sides given in the figure:
Area of base and top = 6+6 = 12
Area of 5x4 side = 20
Area of 5x3 side = 15
Area of 5x5 side = 25
Total Surface Area = 12+20+15+25 = 72
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9183
Premium Member
Re: In the figure above, the base of the uniform solid is a right triangle  [#permalink]

Show Tags

New post 25 Nov 2018, 05:18
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

GMAT Club Bot
Re: In the figure above, the base of the uniform solid is a right triangle &nbs [#permalink] 25 Nov 2018, 05:18
Display posts from previous: Sort by

In the figure above, the base of the uniform solid is a right triangle

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


Copyright

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®.