Answer:
1/4
Explanation:
To find the scale factor, we can use the information given to us on the diagram. In this case, it is surface area.
Surface area scales proportionally with the scale factor meaning if one shape has a surface area of 2 and is scaled up 3 times, it would simply be 2*3 so the final shape will have a surface area of 6.
The starting shape(left) has a surface area of 12 and the resulting shape(right) has a surface area of 3.
What we have to solve is 12 times what scale is equal to 3. or 12x=3 where x is the scale factor
To solve this equation we divide 12 on both sides to get x = 3/12 or simplified, 1/4.
So the scale factor is 1/4 because 12 times 1/4 is 3