Find the maximum and minimum volumes of a rectangular box whose surface area equals 10000 square cm and whose edge length (sum of lengths of all edges) is 560 cm. Hint: It can be deduced that the box is not a cube, so if x, y, and z are the lengths of the sides, you may want to let x represent a side with z #y and z z. Maximum value is occuring at ( ). Minimum value is occuring at (

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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Find the maximum and minimum volumes of a rectangular box whose surface area equals 10000 square cm and whose edge
length (sum of lengths of all edges) is 560 cm. Hint: It can be deduced that the box is not a cube, so if x, y, and z are the lengths
of the sides, you may want to let x represent a side with x+y and a z. Maximum value is
occuring at
). Minimum value is
occuring at
).
Transcribed Image Text:Find the maximum and minimum volumes of a rectangular box whose surface area equals 10000 square cm and whose edge length (sum of lengths of all edges) is 560 cm. Hint: It can be deduced that the box is not a cube, so if x, y, and z are the lengths of the sides, you may want to let x represent a side with x+y and a z. Maximum value is occuring at ). Minimum value is occuring at ).
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