An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction. The values for the dimension of the base are: The height of the box is:
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction. The values for the dimension of the base are: The height of the box is:
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
Section9.2: Pyramids, Area, And Volume
Problem 33E
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![An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine
the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction.
W
]×[
The values for the dimension of the base are:
The height of the box is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf3a2298-ba96-47de-857c-8ced141a379b%2F073c6f35-fe68-44b8-a724-c8737d1c4ba8%2Fcvimzcd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine
the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction.
W
]×[
The values for the dimension of the base are:
The height of the box is:
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