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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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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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