It is currently 18 Nov 2017, 03:48

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

K is a rectangular solid. Find the volume of K

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

Hide Tags

Expert Post
4 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132554 [4], given: 12326

K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 24 Feb 2015, 07:57
4
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:16) correct 39% (00:53) wrong based on 166 sessions

HideShow timer Statistics

K is a rectangular solid. Find the volume of K

(1) a diagonal line across the front face of K has a length of 40
(2) a diagonal line across the bottom face of K has a length of 25


Kudos for a correct solution.
[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 [?]: 132554 [4], given: 12326

1 KUDOS received
Intern
Intern
avatar
B
Joined: 01 Feb 2015
Posts: 23

Kudos [?]: 12 [1], given: 8

Location: United States (CA)
Concentration: Real Estate
GMAT 1: 680 Q44 V38
GMAT 2: 740 Q49 V42
GPA: 3.45
WE: Project Management (Other)
Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 24 Feb 2015, 08:33
1
This post received
KUDOS
IMO E

By themselves insufficient and I am not sure how you would relate the two equations to find the necessary information.

Kudos [?]: 12 [1], given: 8

Manager
Manager
User avatar
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74

Kudos [?]: 66 [0], given: 39

GMAT ToolKit User
Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 24 Feb 2015, 09:27
Both statement are independently insufficient

combined we can have several combinations

say a b c are sides

40^2=(24^2+32^) ; 25^2= (7^2+24^2) giving us a b c as(7,24,32)
40^2=(20^2+ 1200) ; 25^2= (15^2+20^2) giving us a b c as(17,20,sqrt(1200))
both give different volume.
hence answer is E

Kudos [?]: 66 [0], given: 39

Intern
Intern
avatar
Joined: 23 Jun 2011
Posts: 21

Kudos [?]: 11 [0], given: 102

Concentration: Finance, Other
WE: Information Technology (Health Care)
GMAT ToolKit User Reviews Badge
Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 26 Feb 2015, 00:09
easy one E.

Coz using both we can't get individual value of the sides or the product of the three sides.

Kudos [?]: 11 [0], given: 102

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132554 [0], given: 12326

Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 02 Mar 2015, 07:27
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
K is a rectangular solid. Find the volume of K

(1) a diagonal line across the front face of K has a length of 40
(2) a diagonal line across the bottom face of K has a length of 25


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

So, the prompt gives us relatively little information. We are looking for the volume. Statement #1 tells us a diagonal line across the front face has a length of 40. If L is the length and H is the height, then this means: L^2 + H^2 = 40^2 = 1600. That’s one equation with two unknowns, and no way to solve for the volume.

Statement #1 by itself is insufficient.

Statement #2 tells us a diagonal line across the bottom face has a length of 25. If L is the length and W is the width, then this means: L^2 + W^2 = 25^2 = 625. Again, that’s one equation with two unknowns, and no way to solve for the volume. Statement #2 by itself is insufficient.

Combine the statements: we now know both L^2 + H^2 = 40^2 = 1600 and L^2 + W^2 = 25^2 = 625. We now have two equations but three unknowns: still not enough information to solve for the individual values, nor can we somehow rearrange to get the product of LWH. Even combined, the statements are insufficient.

Answer = E.
_________________

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 [?]: 132554 [0], given: 12326

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132554 [0], given: 12326

Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 02 Mar 2015, 07:29
Bunuel wrote:
K is a rectangular solid. Find the volume of K

(1) a diagonal line across the front face of K has a length of 40
(2) a diagonal line across the bottom face of K has a length of 25


Kudos for a correct solution.


Check other 3-D Geometry Questions in our Special Questions Directory.
_________________

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 [?]: 132554 [0], given: 12326

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3097

Kudos [?]: 1114 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 15 Oct 2016, 12:57
Bunuel wrote:
K is a rectangular solid. Find the volume of K

(1) a diagonal line across the front face of K has a length of 40
(2) a diagonal line across the bottom face of K has a length of 25


Kudos for a correct solution.


Rectangular solid refers to a Cuboid.

FROM STATEMENT - I ( INSUFFICIENT )

We can not find the volume of the Cuboid from the dimension of one diagonal.

FROM STATEMENT - II ( INSUFFICIENT )

Same as statement I , We can not find the volume of the Cuboid from the dimension of one diagonal.

\(FROM STATEMENT I AND II ( INSUFFICIENT )\)

We can not find the volume of a cuboid from the dimension of 2 diagonals , because the Volume of a Cuboid given the 3 diagonals as a , b and c is -

\(Volume \ of \ Cuboid = \sqrt{a^2 + b^2 + c^2}\)

Thus Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed , answer will be (E)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1114 [0], given: 327

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15697

Kudos [?]: 281 [0], given: 0

Premium Member
Re: K is a rectangular solid. Find the volume of K [#permalink]

Show Tags

New post 16 Oct 2017, 01:29
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

Kudos [?]: 281 [0], given: 0

Re: K is a rectangular solid. Find the volume of K   [#permalink] 16 Oct 2017, 01:29
Display posts from previous: Sort by

K is a rectangular solid. Find the volume of K

  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®.