(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. (B) The radius of the cylinder is in. (Type an exact answer, using a as needed.) The height of the cylinder is in. (Type an integer or a simplified fraction.) The maximum volume is in (Round to the nearest cubic inch as needed.)

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 120 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.
(B) The radius of the cylinder is in. (Type an exact answer, using n as needed.)
The height of the cylinder is
in. (Type an integer or a simplified fraction.)
The maximum volume is
in°.
(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 120 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. (B) The radius of the cylinder is in. (Type an exact answer, using n as needed.) The height of the cylinder is in. (Type an integer or a simplified fraction.) The maximum volume is in°. (Round to the nearest cubic inch as needed.)
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