You work for a catering company making cakes. The catering company must create a hexagonal cake for a tool company. Your company currently makes a small cake that is hexagonal and serves 8 people. The tool company wants one cake to serve 40 people. To feed that many the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake. Each edge of the small cake is 6 inches and the height of the cake is 3 inches. a. What is the length of the edge of the larger cake? b. What is the height of the large cake? c. Your boss wants to know the scale factor of the volume of the cakes so that he can make sure you have enough materials to create the cake. What is the scale factor for the volume?