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What is the minimum number of shipping boxes Company L

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rrajiv
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What is the minimum number of shipping boxes Company L [#permalink] New post   23 May 2006, 22:44
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Hi All!

I felt that the Kaplan book had a wrong answer for a question. I just wanted someone to verify/comment if what I think is right. The question is:

What is the minimum number of shipping boxes Company L will need in order to ship 120 rectangular packages, all of which have exactly the same dimensions?
(1) The dimensions of the packages are 3 inches in length, 4 inches in depth, and 6 inches in height.
(2) The volume of one shipping box is one cubic foot.

"The correct answer is C (according to the book). We need both statements to solve the problem". The book assumes that the shipping boxes are cubes, and hence the dimensions are 1 foot by 1 foot by 1 foot.

My argument is, the volume of a shipping box is 1 cu. foot. This does not mean that the box needs to be a cube. Cubic foot is just the unit of measurement. The shipping box could have measured 1 foot by 1/5 foot by 5 feet. In which case, both statements are not sufficient to solve the problem.

Please let me know your comments on this. Thanks a Lot!

~ Rrajiv



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Re: What is the minimum number of shipping boxes Company L [#permalink] New post   23 May 2006, 22:50
rrajiv wrote:
Hi All!

I felt that the Kaplan book had a wrong answer for a question. I just wanted someone to verify/comment if what I think is right. The question is:

What is the minimum number of shipping boxes Company L will need in order to ship 120 rectangular packages, all of which have exactly the same dimensions?
(1) The dimensions of the packages are 3 inches in length, 4 inches in depth, and 6 inches in height.
(2) The volume of one shipping box is one cubic foot.

"The correct answer is C (according to the book). We need both statements to solve the problem". The book assumes that the shipping boxes are cubes, and hence the dimensions are 1 foot by 1 foot by 1 foot.

My argument is, the volume of a shipping box is 1 cu. foot. This does not mean that the box needs to be a cube. Cubic foot is just the unit of measurement. The shipping box could have measured 1 foot by 1/5 foot by 5 feet. In which case, both statements are not sufficient to solve the problem.

Please let me know your comments on this. Thanks a Lot!

~ Rrajiv


I think you're right. Without knowing the real dimensions of the box, we cannot know the "fit" of the packages inside the box.
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Re: What is the minimum number of shipping boxes Company L [#permalink] New post   Updated on: 23 May 2006, 22:55
St1:
Insufficient. We only have the dimensions of the package, and do not have any information about the box.

St2:
Insufficient. No information about the size of the package.

Using St1 and St2:
Each box = 72 cubic inches
We have the size of the shipping box.

So we can calculate how many of these boxes are needed for 120 of the packages.

Ans C

Originally posted by ywilfred on 23 May 2006, 22:52.
Last edited by ywilfred on 23 May 2006, 22:55, edited 1 time in total.
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Re: What is the minimum number of shipping boxes Company L [#permalink] New post   23 May 2006, 22:54
rrajiv wrote:
Hi All!

I felt that the Kaplan book had a wrong answer for a question. I just wanted someone to verify/comment if what I think is right. The question is:

What is the minimum number of shipping boxes Company L will need in order to ship 120 rectangular packages, all of which have exactly the same dimensions?
(1) The dimensions of the packages are 3 inches in length, 4 inches in depth, and 6 inches in height.
(2) The volume of one shipping box is one cubic foot.

"The correct answer is C (according to the book). We need both statements to solve the problem". The book assumes that the shipping boxes are cubes, and hence the dimensions are 1 foot by 1 foot by 1 foot.

My argument is, the volume of a shipping box is 1 cu. foot. This does not mean that the box needs to be a cube. Cubic foot is just the unit of measurement. The shipping box could have measured 1 foot by 1/5 foot by 5 feet. In which case, both statements are not sufficient to solve the problem.

Please let me know your comments on this. Thanks a Lot!

~ Rrajiv


We're told the voume of the box is cubic ft. This is sufficient as we do not care how the dimensions work out. Whether its 1x1x1 or 1x1/5x5, the volume is always constant.

If we have a box that is 1 cubic ft, and each package has a volume, say 1/2 cubic ft, then we know each packing box is going to contain only 2 such packages.
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Re: What is the minimum number of shipping boxes Company L [#permalink] New post   24 May 2006, 00:14
ywilfred wrote:
rrajiv wrote:
Hi All!

I felt that the Kaplan book had a wrong answer for a question. I just wanted someone to verify/comment if what I think is right. The question is:

What is the minimum number of shipping boxes Company L will need in order to ship 120 rectangular packages, all of which have exactly the same dimensions?
(1) The dimensions of the packages are 3 inches in length, 4 inches in depth, and 6 inches in height.
(2) The volume of one shipping box is one cubic foot.

"The correct answer is C (according to the book). We need both statements to solve the problem". The book assumes that the shipping boxes are cubes, and hence the dimensions are 1 foot by 1 foot by 1 foot.

My argument is, the volume of a shipping box is 1 cu. foot. This does not mean that the box needs to be a cube. Cubic foot is just the unit of measurement. The shipping box could have measured 1 foot by 1/5 foot by 5 feet. In which case, both statements are not sufficient to solve the problem.

Please let me know your comments on this. Thanks a Lot!

~ Rrajiv


We're told the voume of the box is cubic ft. This is sufficient as we do not care how the dimensions work out. Whether its 1x1x1 or 1x1/5x5, the volume is always constant.

If we have a box that is 1 cubic ft, and each package has a volume, say 1/2 cubic ft, then we know each packing box is going to contain only 2 such packages.


Let me give you an example:

The package being 6"x8"x2" = 96sq in
The box being 8"x8"x3 = 192 sq in.

Can you place 2 such packages in the box?
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Re: What is the minimum number of shipping boxes Company L [#permalink] New post   24 May 2006, 00:25
Well cubic foot is used to refer to 1 x 1 x 1!!

if they meant otherwise they wud have said 1 foot cube!


Likewise,

I cubic meter and 1 meter cube is the same volume, but the former also indicates that the sides are of the unit length!



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: What is the minimum number of shipping boxes Company L [#permalink]
24 May 2006, 00:25
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