A goldsmith is designing a box with open top and square base. The box is suppose to have volume of 18cm³. The box will be made from a precious metal, so he wants to minimize its surface area. Let x be the length of the side of square base, and y the hight of the box. Find the values of r and u that minimize the surface
A goldsmith is designing a box with open top and square base. The box is suppose to have volume of 18cm³. The box will be made from a precious metal, so he wants to minimize its surface area. Let x be the length of the side of square base, and y the hight of the box. Find the values of r and u that minimize the surface
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...
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Question
![A goldsmith is designing a box with open top
and square base. The box is suppose to have
volume of 18cm³. The box will be made from
a precious metal, so he wants to minimize its
surface area. Let x be the length of the side of
square base, and y the hight of the box. Find
the values of x and y that minimize the surface
area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38e8be8e-139a-49d8-9a06-cd376c4f4097%2F4bb90732-dcae-4117-94e8-6ca42fe6fedc%2Fyn6lqdm_processed.png&w=3840&q=75)
Transcribed Image Text:A goldsmith is designing a box with open top
and square base. The box is suppose to have
volume of 18cm³. The box will be made from
a precious metal, so he wants to minimize its
surface area. Let x be the length of the side of
square base, and y the hight of the box. Find
the values of x and y that minimize the surface
area.
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