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A parcel delivery service will deliver a package only if the length plus girth (distance) around does not exceed 132 inches.

A parcel delivery service will deliver a package only if the length plus girth (distance) around does not exceed 132 inches.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A parcel delivery service will deliver a package only if the length plus girth (distance) around does not exceed 132 inches. 

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 132 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 in. (Use a comma to separate answers as needed.) The maximum volume is in°. 3 (B) The radius of the cylinder is in. (Type an exact answer, using t as needed.) The height of the cylinder is in. (Type an integer or a simplified fraction.) The maximum volume is in. 3 (Round to the nearest cubic inch as needed.)
Transcribed Image Text:A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 132 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 in. (Use a comma to separate answers as needed.) The maximum volume is in°. 3 (B) The radius of the cylinder is in. (Type an exact answer, using t as needed.) The height of the cylinder is in. (Type an integer or a simplified fraction.) The maximum volume is in. 3 (Round to the nearest cubic inch as needed.)
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