Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You start with a rectangular sheet of cardboard that is 12 in. Iong and 8 in. wide. You plan to make the box by cutting identical squares from the corners and folding the sides to create a box with one side open, as shown below. You want your box to have the maximum allowable volume of 80 in'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 58E
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What must be the maximum height of the box if you want it to have a maximum volume of 80 in3.

Illustrating the Dimensions of a Box
You want to make a box to be part of your designed gadget. You start with a rectangular sheet of
cardboard that is 12 in. long and 8 in. wide. You plan to make the box by cutting identical squares from the
coners and folding the sides to create a box with one side open, as shown below. You want your box to
have the maximum allowable volume of 80 in'.
Transcribed Image Text:Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You start with a rectangular sheet of cardboard that is 12 in. long and 8 in. wide. You plan to make the box by cutting identical squares from the coners and folding the sides to create a box with one side open, as shown below. You want your box to have the maximum allowable volume of 80 in'.
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