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

 It is currently 15 Oct 2018, 21:38

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

K is a rectangular solid. Find the volume of K

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49860
K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

24 Feb 2015, 07:57
4
5
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:47) correct 36% (01:22) wrong based on 204 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.

_________________
Current Student
Joined: 01 Feb 2015
Posts: 23
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

24 Feb 2015, 08:33
1
IMO E

By themselves insufficient and I am not sure how you would relate the two equations to find the necessary information.
Manager
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

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.
Intern
Joined: 23 Jun 2011
Posts: 20
Concentration: Finance, Other
WE: Information Technology (Health Care)
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

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.
Math Expert
Joined: 02 Sep 2009
Posts: 49860
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

02 Mar 2015, 07:27
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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 49860
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

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.
_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4100
Location: India
GPA: 3.5
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

15 Oct 2016, 12:57
1
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 )

Non-Human User
Joined: 09 Sep 2013
Posts: 8403
Re: K is a rectangular solid. Find the volume of K  [#permalink]

Show Tags

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