We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution

We want to construct a rectangular box with a square base and a lid which volume is 25 m³. a) Sketch to indicate your variables and determine the dimensions of the box to minimize the use of materials b) Use Calculus to prove that the solution to part a) is the minimum solution

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

Section9.1: Prisms, Area And Volume

Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....

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Question

We want to construct a rectangular box with a square base and a lid
which volume is 25 m³.
a) Sketch to indicate your variables and determine the dimensions
of the box to minimize the use of materials
b) Use Calculus to prove that the solution to part a) is the minimum
solution

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