OTHER APPLICATIONS
Container Design Consider the problem of cutting corners out of a rectangle and folding up the sides to make a box. Specific examples of this problem are discussed in Example 3 and Exercise
a. In the solution to Example 3, compare the area of the base of the box with the area of the walls.
b. Repeat part a for the solution to Exercise
c. Make a conjecture about the area of the base compared with the area of the walls for the box with the maximum volume.
EXAMPLE 3 Maximizing Volume
An open box is to be made by cutting a square from each corner of a
28. Container Design An open box will be made by cutting a square from each corner a
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Calculus For The Life Sciences
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