A rectangular piece of cardboard has a perimeter of
Write an equation for the volume of the box in terms of
Now, write the volume of the box using only
What is an appropriate domain for the function you wrote in part (b)?
. The 'largest' value of occurs 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).