It is currently 20 Oct 2017, 07:56

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A certain rectangular crate measures 8 feet by 10 feet by 12

Author Message
TAGS:

### Hide Tags

Manager
Joined: 20 Nov 2009
Posts: 164

Kudos [?]: 248 [0], given: 64

A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

01 Sep 2010, 11:20
7
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:09) correct 44% (01:19) wrong based on 272 sessions

### HideShow timer Statistics

A certain rectangular crate measures 8 feet by 10 feet by 12 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?

A. 4
B. 5
C. 6
D. 8
E. 10
[Reveal] Spoiler: OA

_________________

But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Kudos [?]: 248 [0], given: 64

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [2], given: 12185

### Show Tags

01 Sep 2010, 12:14
2
KUDOS
Expert's post
4
This post was
BOOKMARKED
aiming4mba wrote:
A certain rectangular crate measures 8 feet by 10 feet by 12 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?

a. 4
b. 5
c. 6
d. 8
e. 10

Volume of the cylinder equals to $$area=\pi{r^2}h$$. First of all note that answer choices C, D, and E don't make sense. For example cylinder of a radius 6 (option C) just won't fit on any face, as max face has a dimensions 12*10 so cylinder with max radius of 5 can be placed on it.

Max volume will be when the base of a cylinder is placed on the face with dimension 12*10 thus the radius will be 5 --> $$v=\pi{5^2}*8=200\pi$$;

Other options:
If we place cylinder on the face with dimension 12*8 then radius will be 4 and $$v=\pi{4^2}*10=160\pi$$;
If we place cylinder on the face with dimension 10*8 then radius will be 4 and $$v=\pi{4^2}*12=192\pi$$,.

_________________

Kudos [?]: 128980 [2], given: 12185

Manager
Joined: 17 Mar 2010
Posts: 173

Kudos [?]: 210 [0], given: 9

### Show Tags

01 Sep 2010, 23:21
Good explaination

Kudos [?]: 210 [0], given: 9

Senior Manager
Joined: 21 Jan 2010
Posts: 329

Kudos [?]: 225 [0], given: 12

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

31 Aug 2013, 15:55
Bunuel wrote:
Bumping for review and further discussion.

I don't agree with the solution, the radius can be 6. Also if you consider it will less than 6, it will be more of about 5.9 which is closer to 6 than 5. So i will mark 6 in this case.

Kudos [?]: 225 [0], given: 12

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [0], given: 12185

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

31 Aug 2013, 15:58
Bluelagoon wrote:
Bunuel wrote:
Bumping for review and further discussion.

I don't agree with the solution, the radius can be 6. Also if you consider it will less than 6, it will be more of about 5.9 which is closer to 6 than 5. So i will mark 6 in this case.

The radius cannot be 6. It won't fit on any face.
_________________

Kudos [?]: 128980 [0], given: 12185

Senior Manager
Joined: 21 Jan 2010
Posts: 329

Kudos [?]: 225 [0], given: 12

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

31 Aug 2013, 16:16
Bunuel wrote:
Bluelagoon wrote:
Bunuel wrote:
Bumping for review and further discussion.

I don't agree with the solution, the radius can be 6. Also if you consider it will less than 6, it will be more of about 5.9 which is closer to 6 than 5. So i will mark 6 in this case.

The radius cannot be 6. It won't fit on any face.

12x10. its close enough to have the radius as 6.

Kudos [?]: 225 [0], given: 12

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [1], given: 12185

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

31 Aug 2013, 16:18
1
KUDOS
Expert's post
Bluelagoon wrote:
Bunuel wrote:
Bluelagoon wrote:
I don't agree with the solution, the radius can be 6. Also if you consider it will less than 6, it will be more of about 5.9 which is closer to 6 than 5. So i will mark 6 in this case.

The radius cannot be 6. It won't fit on any face.

12x10. its close enough to have the radius as 6.

The radius of 6 means that the diameter is 12. So, the base of the cylinder will be 12 by 12 and it won't fit.
_________________

Kudos [?]: 128980 [1], given: 12185

Senior Manager
Joined: 21 Jan 2010
Posts: 329

Kudos [?]: 225 [0], given: 12

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

31 Aug 2013, 16:40
yaa. I see .Good question. Thanks!

Kudos [?]: 225 [0], given: 12

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16634

Kudos [?]: 273 [0], given: 0

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

27 Sep 2015, 01:23
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.
_________________

Kudos [?]: 273 [0], given: 0

Director
Joined: 04 Jun 2016
Posts: 647

Kudos [?]: 366 [0], given: 36

GMAT 1: 750 Q49 V43
A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

17 Jul 2016, 03:32
aiming4mba wrote:
A certain rectangular crate measures 8 feet by 10 feet by 12 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?

A. 4
B. 5
C. 6
D. 8
E. 10

Make the base of the crate as 10 feet by 12 feet
The biggest object that can fit in this base is 10 feet by 10 feet; If we take an object with dimension of 11 feet then it will pop 1 feet out out that side of the base that is 10 feet.
Therefore the biggest cylinder has to have a diameter of 10 and not more than that
Radius will be half of diameter= 10/2 = 5
So the corect option is B
_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 366 [0], given: 36

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16634

Kudos [?]: 273 [0], given: 0

Re: A certain rectangular crate measures 8 feet by 10 feet by 12 [#permalink]

### Show Tags

23 Aug 2017, 06:54
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: A certain rectangular crate measures 8 feet by 10 feet by 12   [#permalink] 23 Aug 2017, 06:54
Display posts from previous: Sort by

# A certain rectangular crate measures 8 feet by 10 feet by 12

 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®.