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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

13 disc-shaped objects (height 12/13 cm) are to be stacked [#permalink]

Show Tags

26 Mar 2011, 12:14

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

64% (03:47) correct
36% (02:55) wrong based on 73 sessions

HideShow timer Statistics

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A. 60 cm^3 B. 65 cm^3 C. 70 cm^3 D. 75 cm^3 E. 80 cm^3

Re: Try this one -- I didnt get the question [#permalink]

Show Tags

26 Mar 2011, 12:40

1

This post received KUDOS

bhandariavi wrote:

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A 60cm3

B 65cm3

C 70cm3

D 75cm3

E 80cm3

It is a cylinder inserted in a rectangular box.

Dimension of the rectangular box: l=5 w=5 h=13*(12/13)=12 Total Volume = l*b*h = 25*12

Dimension of the inserted cylinder: r = (5/2). Please see the attached image providing a top view of the box. As the lateral edges of the box touch the circle and appear as tangent to the circle. The length and width of the rectangle become equal to diameter of the circle.

h = 13*(12/13)=12 Volume occupied \(\pi*r^2*h = \frac{22}{7}*(\frac{5}{2})^2*12= \frac{22}{7}*\frac{25}{4}*12\)

Volume left for the gel = Total Volume of the box - Volume occupied by cylinder

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A. 60 cm^3 B. 65 cm^3 C. 70 cm^3 D. 75 cm^3 E. 80 cm^3

The only problem I see in all the Explanations is that they assume that cylinders are stacked one above each other inside the box and not next to each other inside the box. [does stack means one above another ]

From the stem we can get that the discs are placed exactly the way explained in the solutions: the discs are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal.
_________________

Re: Try this one -- I didnt get the question [#permalink]

Show Tags

26 Mar 2011, 21:18

fluke wrote:

bhandariavi wrote:

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A 60cm3

B 65cm3

C 70cm3

D 75cm3

E 80cm3

It is a cylinder inserted in a rectangular box.

Dimension of the rectangular box: l=5 w=5 h=13*(12/13)=12 Total Volume = l*b*h = 25*12

Dimension of the inserted cylinder: r = (5/2). Please see the attached image providing a top view of the box. As the lateral edges of the box touch the circle and appear as tangent to the circle. The length and width of the rectangle become equal to diameter of the circle.

h = 13*(12/13)=12 Volume occupied \(\pi*r^2*h = \frac{22}{7}*(\frac{5}{2})^2*12= \frac{22}{7}*\frac{25}{4}*12\)

Volume left for the gel = Total Volume of the box - Volume occupied by cylinder

Cylinders : just couldnot understand the question [#permalink]

Show Tags

04 Mar 2013, 07:27

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

Re: Cylinders : just couldnot understand the question [#permalink]

Show Tags

04 Mar 2013, 08:12

abhinav11 wrote:

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A.60 cm^3 B.65 cm^3 C.70 cm^3 D.75 cm^3 E.80 cm^3

Question is saying that there is a rectangle box in which we have to fit 13 disc shaped object -> those thirteen on top of each other will eventually make a cylinder of height 13 * 12/13 and diameter = 5cm

Now imagine a rectangular 3D box and a cylinder inside it. There will be some space left as cylinder is curved around its edge. So, we need to find how much is that space. So, that space will be volume of the rectangular box - volume of the cylinder

Re: Cylinders : just couldnot understand the question [#permalink]

Show Tags

04 Mar 2013, 08:27

nktdotgupta wrote:

abhinav11 wrote:

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A.60 cm^3 B.65 cm^3 C.70 cm^3 D.75 cm^3 E.80 cm^3

Question is saying that there is a rectangle box in which we have to fit 13 disc shaped object -> those thirteen on top of each other will eventually make a cylinder of height 13 * 12/13 and diameter = 5cm

Now imagine a rectangular 3D box and a cylinder inside it. There will be some space left as cylinder is curved around its edge. So, we need to find how much is that space. So, that space will be volume of the rectangular box - volume of the cylinder

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

Re: 13 disc-shaped objects (height 12/13 cm) are to be stacked [#permalink]

Show Tags

20 Sep 2013, 18:19

bhandariavi wrote:

13 disc-shaped objects (height 12/13 cm) are to be stacked in a rectangular box with horizontal dimensions (5 x 5cm). If the edges of the box contact the edges of the stack (so that there are no extra gaps) and the height of the stack and the box are exactly equal, approximately how much fluid gel can be injected into the remaining space?

A. 60 cm^3 B. 65 cm^3 C. 70 cm^3 D. 75 cm^3 E. 80 cm^3

The only problem I see in all the Explanations is that they assume that cylinders are stacked one above each other inside the box and not next to each other inside the box. [does stack means one above another ]

gmatclubot

Re: 13 disc-shaped objects (height 12/13 cm) are to be stacked
[#permalink]
20 Sep 2013, 18:19

Military MBA Acceptance Rate Analysis Transitioning from the military to MBA is a fairly popular path to follow. A little over 4% of MBA applications come from military veterans...

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...