Chapter 2.6, Problem 24AYU

Constructing _{an Open Box An open box with a square base is required to have a volume of 10 cubic feet.}

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.

How much material is requiredfor such a box with a base $1$ foot by $1$ foot ?

How much material is requiredfor such a box with a base $2$ feet by $2$ feet ?

Use agraphing utility to graph $A=A(x)$. For what value of $x$ is $A$ smallest ?

Whatis the least amount of material needed ?