A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of lengthh 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 160 in.? of cardboard (i.e., AB= 160). Which values A and B maximize the volume? A = in. B = in.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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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:
Suppose that the box height ish=4 in. and that it is constructed using 160 in.? of cardboard (i.e., AB = 160). Which values A and B maximize the volume?
A =
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: Suppose that the box height ish=4 in. and that it is constructed using 160 in.? of cardboard (i.e., AB = 160). Which values A and B maximize the volume? A = in. B = in.
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