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. Length of the larger cake = 10.2 inches

B. Height of the larger cake = 5.1 inches

C. Volume scale factor = 4.91 : 1 or approximately 5 : 1

Note: The question is incomplete. The complete question is given below:

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?

Step-by-step explanation:

Since  the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake:

a. Length of the edge of smaller cake = 6 inches

Length of the larger cake will be 6 * 1.7 = 10.2 inches

b. Height of the smaller cake = 3 inches

Height of the larger cake will be 3 * 1.7 = 5.1 inches

c. Volume  of a hexagon = 3/2 × √3 × s² × h; where s is length of one side, h is height

Volume of the smaller cake = 3/2 * √3 * 6² * 3 = 349.06 in³

Volume of larger cake = 3/2 * √3 * 10.2² * 5.1 = 1714.94 in³

Volume scale factor = 1714.94/349.06 = 4.91 or approximately 5:1

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.