A open box with a square base is required to have a volume of 10 cubic feet.
a) Express the amount A of material used to make such a box as a function of the length x of a side of the square base.
b) How much material is required for a base 1 foot by 1 foot?
c) How much material is required for a base 2 feet by 2 feet?
d) Graph A=A(x). For what value of x is A smallest?
Constructing an Open Box, Writing Functions and Calculating and Minimizing Area are investigated. The solution is detailed and well presented. Diagrams are included.