An open-top box is to be made from a 30 inches by 41 inches piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. Part A. If z inches is the amount to be removed from each corner, write a formula for the volume of the box. V(z) = Part B. Use the techniques discussed in this class to determine what size squares should be cut out of each corner to get a box with maximum volume. z = Part C. What is the maximum volume of the box? V= inches cubed %3D Submit Question
An open-top box is to be made from a 30 inches by 41 inches piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. Part A. If z inches is the amount to be removed from each corner, write a formula for the volume of the box. V(z) = Part B. Use the techniques discussed in this class to determine what size squares should be cut out of each corner to get a box with maximum volume. z = Part C. What is the maximum volume of the box? V= inches cubed %3D Submit Question
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:An open-top box is to be made from a 30 inches by 41 inches piece of cardboard by removing a
square from each corner of the box and folding up the flaps on each side.
Part A. If z inches is the amount to be removed from each corner, write a formula for the volume of
the box. V(z) =
Part B. Use the techniques discussed in this class to determine what size squares should be cut out
of each corner to get a box with maximum volume. z =
Part C. What is the maximum volume of the box? V:
inches cubed
%3D
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