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3. the mass of the shell of a bird egg mshell...

Question: the mass of the shell of a bird egg mshell...

Question details

The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M1.132egg. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg.

a) Assuming a constant density, the size of an object scales as its mass raised to what power?

b) The surface area of an object scales as its size raised to what power?

c) The surface area of an egg shell scales as the mass of the egg shell raised to what power? Hint: Use your answers to Parts A and B to determine this scaling relationship.

d) The surface area of an egg shell scales as the mass of the egg raised to what power? Report your answer using two significant figures.

So I found the answer for a to be 1/3 and for b its 2

For part c I used these proportions and got the mass of the egg shell is proportional to its surface area to the 1.698 power, but 1.698 was wrong and I don't know why.