The inside dimensions of a rectangular wooden box are 6 : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 23:21

### 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

# The inside dimensions of a rectangular wooden box are 6

Author Message
Director
Joined: 09 Oct 2005
Posts: 720
Followers: 3

Kudos [?]: 23 [0], given: 0

The inside dimensions of a rectangular wooden box are 6 [#permalink]

### Show Tags

05 Feb 2006, 05:44
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical cannister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such cannisters that could be used, what is the radius, in inches, of the one that has maximum volume?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
_________________

IE IMBA 2010

Senior Manager
Joined: 11 Jan 2006
Posts: 269
Location: Chennai,India
Followers: 1

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

### Show Tags

05 Feb 2006, 07:12
this problem is in the OG , and i never understood the OE they have given there... anybody pls help us!
_________________

vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

Senior Manager
Joined: 19 Feb 2005
Posts: 486
Location: Milan Italy
Followers: 1

Kudos [?]: 23 [0], given: 0

### Show Tags

05 Feb 2006, 08:05
it should be 4 and not 5, if I understood the trick.
_________________

Please allow me to introduce myself: I'm a man of wealth and taste

Senior Manager
Joined: 11 Jan 2006
Posts: 269
Location: Chennai,India
Followers: 1

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

### Show Tags

05 Feb 2006, 09:21
thearch wrote:
it should be 4 and not 5, if I understood the trick.

can u share ur trick with me too! i never got the explanation for this right!
_________________

vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

Senior Manager
Joined: 19 Feb 2005
Posts: 486
Location: Milan Italy
Followers: 1

Kudos [?]: 23 [0], given: 0

### Show Tags

05 Feb 2006, 09:45
razrulz wrote:
thearch wrote:
it should be 4 and not 5, if I understood the trick.

can u share ur trick with me too! i never got the explanation for this right!

well, provided that my answer is correct, the point made here is:
can you inscribe (I mean, perfectly) a circle in a rectangle? the asnwer is no

you can do that with squares, not with rectangles.

Since we're dealing with a rectangle, which is 10x8, we can't inscribe a circle of radius 5 in this rectangle. It wouldn't fit in the box.
Attachments

CIRCLES.JPG [ 10.21 KiB | Viewed 728 times ]

_________________

Please allow me to introduce myself: I'm a man of wealth and taste

Senior Manager
Joined: 11 Jan 2006
Posts: 269
Location: Chennai,India
Followers: 1

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

### Show Tags

05 Feb 2006, 09:51
thearch wrote:
razrulz wrote:
thearch wrote:
it should be 4 and not 5, if I understood the trick.

can u share ur trick with me too! i never got the explanation for this right!

well, provided that my answer is correct, the point made here is:
can you inscribe (I mean, perfectly) a circle in a rectangle? the asnwer is no

you can do that with squares, not with rectangles.

Since we're dealing with a rectangle, which is 10x8, we can't inscribe a circle of radius 5 in this rectangle. It wouldn't fit in the box.

thnks a ton dear!!! how cld i ve missed it ? A cylinder is read.. and i overlooked it... thnks again
_________________

vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

VP
Joined: 21 Sep 2003
Posts: 1065
Location: USA
Followers: 3

Kudos [?]: 73 [0], given: 0

### Show Tags

05 Feb 2006, 10:02
thearch wrote:
razrulz wrote:
thearch wrote:
it should be 4 and not 5, if I understood the trick.

can u share ur trick with me too! i never got the explanation for this right!

well, provided that my answer is correct, the point made here is:
can you inscribe (I mean, perfectly) a circle in a rectangle? the asnwer is no

you can do that with squares, not with rectangles.

Since we're dealing with a rectangle, which is 10x8, we can't inscribe a circle of radius 5 in this rectangle. It wouldn't fit in the box.

Great stuff thearch! Got the same answer, but I like your diagramming skills.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Senior Manager
Joined: 05 Jan 2006
Posts: 382
Followers: 1

Kudos [?]: 84 [0], given: 0

### Show Tags

05 Feb 2006, 11:28
The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical cannister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such cannisters that could be used, what is the radius, in inches, of the one that has maximum volume?

Volueme is pir^2h

Now we can have three posibility of cylinder 6,8,10

h = 6 and r=min(8/2,10/2) = pi 4^2 6 = 96pi

h = 8 and r=min(6/2,10/2) = pi 3^2 8 = 72pi

h = 10 and r=min(6/2, 8/2) = pi 3^2 10 = 90pi

So r =4
05 Feb 2006, 11:28
Display posts from previous: Sort by

# The inside dimensions of a rectangular wooden box are 6

 Powered by phpBB © phpBB Group and phpBB SEO 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®.