Maximizing Volume. March 23, 2004. Profit and Product Distribution . . . Why does cereal come in a rectangular prism and potato chips come in a bag?. Manufacturing and Advertising . . . Why does ice cream come in so many different containers?
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March 23, 2004
Why does cereal come in a rectangular prism and potato chips come in a bag?
x = 1
Let x = 1 in.
Cut 1 by 1 in squares from each corner.
Fold up the sides to form the open box.
What are the dimensions of the box?
What is its volume?
V = AH
What are the dimensions of the base and its Area?
Length of the base =
(8.5 – 1 – 1) = 6.5
Width of the base =
(11 – 1 - 1) = 9
What is the Height of the box?
What is the volume?
V = (6.5)(9)(1) = 58.5
Is this the most volume we can get?
H W of base L of base Volume
x 11 – 2x 8.5 – 2x y =