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Home > PC3 > Chapter 7 > Lesson 7.2.2 > Problem 7-90
7-90.
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 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).