(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

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
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
icon
Related questions
Question
100%
TYPEWRITTEN ONLY PLEASE FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell