A piece of cardboard measuring 8 inches by 11 inches is formed into an op squares with side length a from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(z) = %3D Find the value for a that will maximize the volume of the box I =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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A piece of cardboard measuring 8 inches by 11 inches is formed into an open-top box by cutting
squares with side length a from each corner and folding up the sides.
Find a formula for the volume of the box in terms of z
V(z) =
Find the value for a that will maximize the volume of the box
I =
Transcribed Image Text:A piece of cardboard measuring 8 inches by 11 inches is formed into an open-top box by cutting squares with side length a from each corner and folding up the sides. Find a formula for the volume of the box in terms of z V(z) = Find the value for a that will maximize the volume of the box I =
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