In constructing an open rectangular box from 108 ft of material, what dimensions will result in a box of maximum volume? Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top. xy+2xz+2yz =108 What are the dimensions of the box? .y=6 ft³ .z= 3 ft³ (Simplify your answers.)
In constructing an open rectangular box from 108 ft of material, what dimensions will result in a box of maximum volume? Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top. xy+2xz+2yz =108 What are the dimensions of the box? .y=6 ft³ .z= 3 ft³ (Simplify your answers.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In constructing an open rectangular box from 108 ft² of material, what dimensions will result in a box of maximum volume?
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Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top.
xy + 2xz + 2yz = 108
What are the dimensions of the box?
(Simplify your answers.)
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