In constructing an open rectangular box from 300 ft² 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...
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In constructing an open rectangular box from 300 ft 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.
Transcribed Image Text:In constructing an open rectangular box from 300 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.
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