Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 27 May 2017, 17:35

### 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 rectangular steel container has three equal dimensions of

Author Message
TAGS:

### Hide Tags

Intern
Joined: 30 Sep 2010
Posts: 19
Followers: 0

Kudos [?]: 130 [1] , given: 1

A rectangular steel container has three equal dimensions of [#permalink]

### Show Tags

06 Dec 2010, 02:58
1
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:56) correct 25% (01:12) wrong based on 243 sessions

### HideShow timer Statistics

A rectangular steel container has three equal dimensions of 8 inches. If a cylindrical canister is to be placed inside the box so that it stands upright when the box rests on one of its six faces, what is the maximum possible volume, in cubic inches, of the canister?

(A) 128
(B) 64
(C) 128(3.14)
(D) 512
(E) 512(3.14)
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 38921
Followers: 7742

Kudos [?]: 106353 [0], given: 11622

### Show Tags

06 Dec 2010, 03:14
surendar26 wrote:
A rectangular steel container has three equal dimensions of 8 inches. If a cylindrical canister is to be placed inside the box so that it stands upright when the box rests on one of its six faces, what is the maximum possible volume, in cubic inches, of the canister?
(A) 128
(B) 64
(C) 128(3.14)
(D) 512
(E) 512(3.14)

"A rectangular steel container has three equal dimensions of 8 inches" means that the container is a cube. Now, cylinder to have maximum possible volume it should have maximum possible diameter and height, so a diameter equal to a side of the cube, so d=8 (radius=4) and a height also equal to a side of the cube, so height=8: $$volume_{cylinder}=\pi{r^2}h=128\pi$$.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15491
Followers: 651

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

Re: A rectangular steel container has three equal dimensions of [#permalink]

### Show Tags

24 Sep 2014, 19:18
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.
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 51

Kudos [?]: 2175 [1] , given: 193

Re: A rectangular steel container has three equal dimensions of [#permalink]

### Show Tags

02 Oct 2014, 01:54
1
KUDOS
All dimensions are same of the rectangle, it means its a cube

The base would be a square

Maximum possible diameter of a inscribed circle (the cylinder) is the side of the square = 8

Height = 8

$$Area = \pi r^2 h = \pi * 4^2 * 8 = 128\pi$$

_________________

Kindly press "+1 Kudos" to appreciate

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15491
Followers: 651

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

Re: A rectangular steel container has three equal dimensions of [#permalink]

### Show Tags

28 Apr 2016, 09:33
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: A rectangular steel container has three equal dimensions of   [#permalink] 28 Apr 2016, 09:33
Similar topics Replies Last post
Similar
Topics:
2 Milk is poured from a full rectangular container with dimensions 4 inc 4 08 Apr 2017, 03:19
13 A closed aluminum rectangular box has inner dimensions x 9 28 Sep 2016, 04:36
7 A rectangular box has dimensions of 8 feet, 8 feet, and z 4 29 Aug 2016, 12:40
9 There are three vessels of equal capacity .Vessel A contains Milk and 12 28 May 2016, 17:33
22 The figure above shows the dimensions of a rectangular board 16 24 Mar 2016, 09:47
Display posts from previous: Sort by