Answer:
a. What is the length of the edge of the larger cake?
10.2
b. What is the height of the large cake?
5.1
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?
4.913
Explanation:
From the above question, we are given the following values
Small cake
It can feed 8 people
Length = 6
Height = 3
Large cake
Can feed 40 people
Length = unknown
Height = unknown
We are told from the question, that to feed 40 people , the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake
a. What is the length of the edge of the larger cake?
We are told from the question, that to feed 40 people , the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake
Hence, length of the large cake
= 1.7 × 6 = 10.2
b. What is the height of the large cake?
We are told from the question, that to feed 40 people , the length of each dimension of the larger cake will be about 1.7 times that of the smaller cake
Hence, height of the large cake
= 1.7 × 3 = 5.1
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?
From the above question, we can see that the dimension has been given already with is 1.7
When we are dealing with volume, scale factor represented by k is also always cubed.
Mathematically, when dealing volume, scale factor = k³
Where k = 1.7
Therefore, scale factor = 1.7³
= 4.913.