A box with square base has no top. Its volume is 64000 cm. What is the minimum possible surface area for the box? a) Express the surface area of the box in terms of x (square side of base of box) and h for the height: b) Write an equation for the volume of the box. c) Combine a) and b) to get a surface area function in terms of a single variable. What are the critical points of your surface area function? d) What is the minimum surface area? Be accurate to the nearest tenth. Type your answer below.

A box with square base has no top. Its volume is 64000 cm. What is the minimum possible surface area for the box? a) Express the surface area of the box in terms of x (square side of base of box) and h for the height: b) Write an equation for the volume of the box. c) Combine a) and b) to get a surface area function in terms of a single variable. What are the critical points of your surface area function? d) What is the minimum surface area? Be accurate to the nearest tenth. Type your answer below.

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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