Algebra 2 and Pre Calculus Review Section 1: Sketch the graphs: 1 ...

14. An open box of maximum volume is to be made from a piece of material 24centimeters by 36 centimeters by cutting equal squares from the corners and turning upthe sides.a. Fill in the table below. The first two rows are completed.Height,xLength,lwidth,wvolume,V124 2(1) 2236 2(1)341[(24 2(1)(36 2(1)] 748224 2(2) 2036 2(2) 322[(24 2(2))(36 2(2))] 12803456b. Write the volume as a function of x, the length of the corner squares. What is thedomain of the function?c. Use a graphing utility to graph the volume function and approximate thedimensions of the box that yield a maximum volume.