A Problem on Scale Factor and Mass

Solution:

Scale factor (big to small) = 6/2 = 3

Now, density does NOT matter because being the same object, their densities are the same.

Let the density be d.

d = m/v

m = mass
v = volume

So, if the small egg’s mass & volume are x and y while the bigger one’s is e and f, we have

(x/y) = d = (e/f)

Or

(x/y) = (e/f)

So,

e = (fx)/y

But we are given that:

x = 4

And by using scale factor for “volume” we calculate:

(f/y)
= (scale factor)^3
= (3)^3
= 27

Thus,

e
= (fx)/y
= 4 (27)
= 108 grams (Answer)