When a shape is dilated by a scale factor, the new surface area is affected by the square of the scale factor.
In this case, the scale factor is 3. Therefore, the new surface area can be calculated as follows:
\[ \text{New Surface Area} = \text{Original Surface Area} \times (\text{Scale Factor})^2 \]
\[ \text{New Surface Area} = 486 , \text{in}^2 \times (3)^2 \]
\[ \text{New Surface Area} = 486 , \text{in}^2 \times 9 \]
\[ \text{New Surface Area} = 4,374 , \text{in}^2 \]
It seems you might have provided different options. Please check the options again, as the result based on the calculations is 4,374 in².