Post Video Questions

$\newcommand{\arraycolsep}[3]{} \newcommand{\dd}[2][]{\frac{d #1}{d #2}} \newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}} \newcommand{\veci}{\vec{\hat{\bf\imath}}} \newcommand{\vecj}{\vec{\hat{\bf\jmath}}} \newcommand{\utan}{\vec{\hat{t}}} \newcommand{\unormal}{\vec{\hat{n}}} \newenvironment{amatrix}[1]{% \begin{bmatrix} }{% \end{bmatrix} }$

$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$

Please answer this question to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

We want to construct a square-base, open top box. We have exactly 10 $ft^2$ of material for building the box. If we use all of the material in building the box, what is the largest volume we could enclose in the box? (Round your answer to 3 decimal places.)

$\answer {3.043} ft^3$