Find the maximum and minimum volumes of a rectangular box whose surface area equals 6000 square cm and whose edge length (sum of lengths of all edges) is 400 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 xy and x z. Maximum value is $0 occuring at occuring at 888: ). Minimum value is 0
Find the maximum and minimum volumes of a rectangular box whose surface area equals 6000 square cm and whose edge length (sum of lengths of all edges) is 400 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 xy and x z. Maximum value is $0 occuring at occuring at 888: ). Minimum value is 0
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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![Find the maximum and minimum volumes of a rectangular box whose surface area equals 6000 square cm and whose edge length (sum of
lengths of all edges) is 400 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 x ‡ z. Maximum value is
occuring at
). Minimum value is
88.8
occuring at](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f95e261-2739-429f-969f-b9cd477709ee%2F2d9960dc-f0c2-4d73-b3f6-6dae2f283938%2F2gddso_processed.png&w=3840&q=75)
Transcribed Image Text:Find the maximum and minimum volumes of a rectangular box whose surface area equals 6000 square cm and whose edge length (sum of
lengths of all edges) is 400 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 x ‡ z. Maximum value is
occuring at
). Minimum value is
88.8
occuring at
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