A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below: A Suppose that the box height is h = 4 in. and that it is constructed using 113 in. of cardboard (i.e., AB = 113). Which values A and B maximize the volume? A = in. B = in.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting
out squares of length h from the corners and folding up the sides as in the figure below:
B
A
Suppose that the box height ish=4 in. and that it is constructed using 113 in. of cardboard
(i.e., AB = 113). Which values A and B maximize the volume?
А —
in.
B =
in.
Transcribed Image Text:A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below: B A Suppose that the box height ish=4 in. and that it is constructed using 113 in. of cardboard (i.e., AB = 113). Which values A and B maximize the volume? А — in. B = in.
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