12. A closed-top box with length equal to double its width is to have a volume of 72 ft³. What is the minimum amount of material needed to construct such a box, and what are the dimensions of that box? Show work. Min. Amt. of Mat.: length: width:
12. A closed-top box with length equal to double its width is to have a volume of 72 ft³. What is the minimum amount of material needed to construct such a box, and what are the dimensions of that box? Show work. Min. Amt. of Mat.: length: width:
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 47E: Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and...
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Can someone please solve the following question for me saving all work.
![12. A closed-top box with length equal to double its width is to have a volume of 72 ft³. What is
the minimum amount of material needed to construct such a box, and what are the dimensions of
that box? Show work.
Min. Amt. of Mat.:
length:
width:
height:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322ab9b5-8b73-42ca-a79a-5c7ee3611144%2Fa184c573-7317-41b2-86fa-1c5d0a8ca50f%2F01fd1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. A closed-top box with length equal to double its width is to have a volume of 72 ft³. What is
the minimum amount of material needed to construct such a box, and what are the dimensions of
that box? Show work.
Min. Amt. of Mat.:
length:
width:
height:
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