A company designs an open-top box by cutting out squares from each corner of a 20 in 20\text{ in} by 20 in 20\text{ in} cardboard sheet. The squares have a side length of x x inches. To maximize the volume of the resulting box when the sides are folded up, what should the dimensions of the box be?

l = 40 3 in l=\frac{40}{3}\text{ in} , w = 40 3 in w=\frac{40}{3}\text{ in} , h = 10 3 in h=\frac{10}{3}\text{ in}

l = 40 3 in l=\frac{40}{3}\text{ in} , w = 40 3 in w=\frac{40}{3}\text{ in} , h = 20 3 in h=\frac{20}{3}\text{ in}

l = 40 3 in l=\frac{40}{3}\text{ in} , w = 20 3 in w=\frac{20}{3}\text{ in} , h = 10 3 in h=\frac{10}{3}\text{ in}

l = 20 3 in l=\frac{20}{3}\text{ in} , w = 20 3 in w=\frac{20}{3}\text{ in} , h = 20 3 in h=\frac{20}{3}\text{ in}

Table of contents

5. Graphical Applications of Derivatives

Applied Optimization

5. Graphical Applications of Derivatives

Applied Optimization: Study with Video Lessons, Practice Problems & Examples

41PRACTICE PROBLEM

ANSWERS OPTIONS

$l = \frac{40}{3} in$ , $w = \frac{40}{3} in$ , $h = \frac{20}{3} in$

$l = \frac{40}{3} in$ , $w = \frac{40}{3} in$ , $h = \frac{10}{3} in$

$l = \frac{40}{3} in$ , $w = \frac{20}{3} in$ , $h = \frac{10}{3} in$

$l = \frac{20}{3} in$ , $w = \frac{20}{3} in$ , $h = \frac{20}{3} in$