11. The volume of a rectangular prism with a square base is fixed at 500 cm'. a) Determine the surface area, A(x), of the prism as a function of the side length of the square base, x. Hint: Use the information above to find the relation between h and x, then use this to eliminate h in the surface area equation. Graph using Desmos and use the graph to determine what values of the side length would give a surface area of less than 1000 cm?. Modify the scale of your graph to clearly show the graph's shape and important points. Include a picture of the graph with your answer. b) c) Use the graph from b) to determine the minimum possible surface area of the prism.

11. The volume of a rectangular prism with a square base is fixed at 500 cm'. a) Determine the surface area, A(x), of the prism as a function of the side length of the square base, x. Hint: Use the information above to find the relation between h and x, then use this to eliminate h in the surface area equation. Graph using Desmos and use the graph to determine what values of the side length would give a surface area of less than 1000 cm?. Modify the scale of your graph to clearly show the graph's shape and important points. Include a picture of the graph with your answer. b) c) Use the graph from b) to determine the minimum possible surface area of the prism.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...

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