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What is the minimum number of shipping boxes Company L [#permalink]
23 May 2006, 21:44

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Difficulty:

5% (low)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

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!

Re: A DS Question from Kaplan 2005 [#permalink]
23 May 2006, 21:50

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.
_________________

Re: A DS Question from Kaplan 2005 [#permalink]
23 May 2006, 21:54

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.

Re: A DS Question from Kaplan 2005 [#permalink]
23 May 2006, 23:14

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?
_________________