GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 Feb 2020, 11:19

### 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

# A rectangular steel container has three equal dimensions of

Author Message
TAGS:

### Hide Tags

Intern
Joined: 30 Sep 2010
Posts: 17
A rectangular steel container has three equal dimensions of  [#permalink]

### Show Tags

06 Dec 2010, 01:58
1
13
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:18) correct 21% (01:46) wrong based on 336 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)
Math Expert
Joined: 02 Sep 2009
Posts: 61484

### Show Tags

06 Dec 2010, 02:14
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: $$volume_{cylinder}=\pi{r^2}h=128\pi$$.

_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1713
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A rectangular steel container has three equal dimensions of  [#permalink]

### Show Tags

02 Oct 2014, 00:54
2
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

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

Non-Human User
Joined: 09 Sep 2013
Posts: 14138
Re: A rectangular steel container has three equal dimensions of  [#permalink]

### Show Tags

25 Oct 2018, 09:17
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] 25 Oct 2018, 09:17
Display posts from previous: Sort by