A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume? (B) Find the dimensions (radius and height) of a cylindrical container that meets the delivery service's restriction and has maximum volume. What is the maximum volume? (A) The dimensions of the rectangular box are O in. (Use a comma to separate answers as needed)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches.
(A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum
volume?
(B) Find the dimensions (radius and height) of a cylindrical container that meets the delivery service's restriction and has maximum volume. WWhat is the
maximum volume?
...
(A) The dimensions of the rectangular box are
in.
(Use a comma to separate answers as needed.)
Transcribed Image Text:A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume? (B) Find the dimensions (radius and height) of a cylindrical container that meets the delivery service's restriction and has maximum volume. WWhat is the maximum volume? ... (A) The dimensions of the rectangular box are in. (Use a comma to separate answers as needed.)
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