Alex wants to design a beach cabana tent with a rectangular box shape. The tent will have two square sides, a top, and a back side of canvas (as shown in the figure). Considering that there is only 54 square feet of canvas available for each tent, find the dimensions of the tent for which the volume inside is maximized assuming all the canvas is used. Sand

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
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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Alex wants to design a beach cabana tent with a rectangular box shape. The
tent will have two square sides, a top, and a back side of canvas (as shown in the figure).
Considering that there is only 54 square feet of canvas available for each tent, find the
dimensions of the tent for which the volume inside is maximized assuming all the canvas
is used.
Sand
Transcribed Image Text:Alex wants to design a beach cabana tent with a rectangular box shape. The tent will have two square sides, a top, and a back side of canvas (as shown in the figure). Considering that there is only 54 square feet of canvas available for each tent, find the dimensions of the tent for which the volume inside is maximized assuming all the canvas is used. Sand
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