### Home > PC3 > Chapter 7 > Lesson 7.2.2 > Problem 7-90

7-90.

A rectangular piece of cardboard has a perimeter of

Write an equation for the volume of the box in terms of

and.Now, write the volume of the box using only

.What is an appropriate domain for the function you wrote in part (b)?

Of course

. The 'largest' value ofoccurs when the height is approximately. Use your equation from part (a) to determine the largest possible value of .Graph the volume function and locate the point that represents the maximum volume.

Use a graphing calculator to graph your equation from part (b).