A packaging company will only accept packages for shipment if the sum of the height and the parameter of the base is not more than 240 inches. a.) Draw a diagram of a box with a square base and label the edges with your choice of variables. b.) Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches. c.) What dimensions (length, width, and height) of such a box will give the maximum volume?
A packaging company will only accept packages for shipment if the sum of the height and the parameter of the base is not more than 240 inches. a.) Draw a diagram of a box with a square base and label the edges with your choice of variables. b.) Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches. c.) What dimensions (length, width, and height) of such a box will give the maximum volume?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1.) A packaging company will only accept packages for shipment if the sum of the height and the parameter of the base is not more than 240 inches.
a.) Draw a diagram of a box with a square base and label the edges with your choice of variables.
b.) Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches.
c.) What dimensions (length, width, and height) of such a box will give the maximum volume?
d.) What is the maximum volume?
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