eNeed help with a problems

M

MooreC1

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Apr 8, 2005
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Here's the problem:

A sporting goods company packages baseballs in cubical boxes with edges that are 2.8 inches long. The company wants to ship the baseballs in cartons that hold four dozen baseballs.

a. Find all possible dimensions of a shipping carton.

b. What are the dimensions of the shipping carton that uses the least amount of material?

HELP!!
 
a) How many is "four dozen"? What combinations of "length", "width", and "height" (measured in cubical boxes) can be formed by this number? For instance, you could arrange the boxes as one-by-one-by-forty-eight, or as four-by-four-by-three.

Once you have the various ways you can stack the boxes, you can multiply the number of boxes by the "2.8 inches" to get the dimensions of the carton.

b) You could make a table, finding the surface area for each of the orientations you found. Then pick the carton with the smallest surface area.

Eliz.
 
I still don't understand. Can someone illustrate what he's talking about?
 
What part don't you understand? How many are in a dozen? How to find the number represented by "four dozen"? Or somewhere else?

Please reply showing what you have tried and specifying your area of difficulty. Thank you.

Eliz.
 
"One box wide by one box deep by forty-eight boxes long."

Eliz.
 
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