(a) Find an equation for the total surface area of the material to be used to make the tent (b) If the tent is designed to have a volume of 1,152 cu. ft., find the length, width, and heig of the tent to minimize the surface area. (c) Suppose that the material to be used for the sides and partitions cost $5 per sq. ft., an the material used on the top and bottom costs twice as much. Determine the cost

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Author:James Stewart
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Chapter1: Functions And Models
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5. A rectangular tent is made to have a square base with two partitions inside that divide the tent
into four smaller areas, as shown in the figure below.
Top view
(a) Find an equation for the total surface area of the material to be used to make the tent.
(b) If the tent is designed to have a volume of 1,152 cu. ft., find the length, width, and height
of the tent to minimize the surface area.
(c) Suppose that the material to be used for the sides and partitions cost $5 per sq. ft., and
the material used on the top and bottom costs twice as much. Determine the cost of
building the tent that minimizes the surface area.
Transcribed Image Text:5. A rectangular tent is made to have a square base with two partitions inside that divide the tent into four smaller areas, as shown in the figure below. Top view (a) Find an equation for the total surface area of the material to be used to make the tent. (b) If the tent is designed to have a volume of 1,152 cu. ft., find the length, width, and height of the tent to minimize the surface area. (c) Suppose that the material to be used for the sides and partitions cost $5 per sq. ft., and the material used on the top and bottom costs twice as much. Determine the cost of building the tent that minimizes the surface area.
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