shipping volume

Question

size = length + 2*width + 2*height

The size of the package must be less than 165" and length has to be less than 108".

You work for a producer who ships rectangular boxes that are 13"x4"x4". The individual boxes are packaged into larger rectangular boxes for shipping. In order to go through the production line, the boxes must be 13". The company wants to minimize shipping costs so they want to send as little of the large boxes as possible. What size box will hold the maximum number of the smaller boxes?

Answer 1

Monica....Can you please clarify what you mean by:

size = length + 2*width + 2*height

The size of the package must be less than 165" and length has to be less than 108".^2

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The volume of a rectangular box is L*W*H. So is the maximum volume of the large box supposed to be less than 165 cubic inches, & its length less than 108 inches ?