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:

What is the maximum number of rectangular blocks, each with [#permalink]

Show Tags

18 Jul 2009, 18:16

1

This post received KUDOS

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

76% (01:47) correct
24% (00:40) wrong based on 301 sessions

HideShow timer Statistics

What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X?

(1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. (2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters.

What is the maximum number of retangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X?

1. When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. 2. the inside dimensions of Box X are 60 centimeters by 30 centimeters by 20 centimeters.

25 = 25*1 or 5*5 so the only possible arrangement of the boxes is 25 of one row or 5*5 rows with each arrangement we can have differnt dimension for the big box........insuff

from 2

thinking volume 12*6*4 = 288 for each samll box , 36000 = volume of big one thus max number is 36000/288 = 125 boxes..suff

I didn't get this explanation. Can someone explain? Thanks.

What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X?

(1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. Useless info: the maximum # of boxes clearly will be different for the box X with the height of 12 centimeters and for the box X with the height of 12,000 centimeters (for example). Not sufficient.

(2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters --> we have the dimensions of the little boxes as well as the dimensions of box X (basically we have all the info we could possibly knew), hence we can calculate the maximum # of boxes that will fit inside box X, no matter what this # actually is. Sufficient.

What is the maximum number of rectangular blocks, each with dimensions 12cms by 6cms by 4cms, that will fit inside rectangular box X?

1. When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. 2. The inside dimensions of box X are 60cms by 30cms by 20 cms.

Statement 1: This will give us two dimensions of the larger box, but since we do not know the height of the larger box, this is insufficient. Statement 2: We know the dimensions of the larger box so we can calculate. Sufficient.

What is the maximum number of rectangular blocks, each with dimensions 12cms by 6cms by 4cms, that will fit inside rectangular box X?

1. When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. 2. The inside dimensions of box X are 60cms by 30cms by 20 cms.

Please DO NOT reword or shorten the questions.
_________________

Re: What is the maximum number of rectangular blocks, each with [#permalink]

Show Tags

18 May 2014, 10:07

1

This post received KUDOS

statement (1): Now here are 25 blocks in bottom layer but we don't know which face is on the lower layer so we can't calculate the max no of block.

so statement is insufficient.

statement (2): dimension of rectangular box X = 60x30x20 cm3 volume = 60x30x20 = 36000 cm3 so dividing by volume of blocks , no. of max blocks that can be accommodated = 36000/288 = 125.

also area of faces of rectangular box = 60x30, 30x20, 60x20 = 1800,600, 1200 cm3.

now 1800/72 = 25 so 12x6 face exactly fits on 60x30 face. 20/4=5 thus overall 125 blocks sets fully inside it ..which was max capacity. so it is sufficient also if we check for other dimensions like 600/24 = 25, and 60/12=5 ..so it same also if we check 1200/48 = 25, and 30/6 = 5..so it is same.

if we take any other face ... u can't put max. blocks.. Hence B

What is the maximum number of rectangular blocks, each with [#permalink]

Show Tags

06 Aug 2014, 10:55

Most of you are making a BIG mistake. The correct answer is B but many of you are incorrectly justifying your answer choice.

In this scenario, you can't multiply the dimensions of the box to attain the total volume and then divide that number by the volume of the rectangular box to determine the total number of blocks that could fit. That's wrong.

For example, I could ask what is the total number of rectangular blocks (10x2x1) that fit in a rectangular box of (5x4x1).

Do you see the problem? With the method most of you are using, your answer to this question would be 1 block. However, while both volumes equal 20 cubic units, you can't fit a rectangular block with side length 10 into a box with side length 5 no matter how you try.

The correct way of approaching this problem is demonstrated by Brunel:

Bunuel wrote:

(2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters --> we have the dimensions of the little boxes as well as the dimensions of box X (basically we have all the info we could possibly knew), hence we can calculate the maximum # of boxes that will fit inside box X, no matter what this # actually is. Sufficient.

Re: What is the maximum number of rectangular blocks, each with [#permalink]

Show Tags

12 Feb 2016, 19:35

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.
_________________

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...