A triangular prism has a surface area of 486 in.2 . If it were dilated using a scale factor of 13 , what would the new surface area be?(1 point)

Question

Responses

54 in.2
54 in. squared

1,458 in.2
1,458 in. squared

18 in.2
18 in. squared

162 in.2

Answer 1

When a figure is dilated using a scale factor, the surface area changes by the square of that scale factor.

In this case, the scale factor is 13. To find the new surface area, you can use the following formula:

New Surface Area = Original Surface Area × (Scale Factor)²

Substituting the values:

New Surface Area = 486 in² × (13)²
New Surface Area = 486 in² × 169
New Surface Area = 82,014 in²

So, the new surface area would be 82,014 in.².

It appears that none of the provided response options (54 in.², 1,458 in.², 18 in.², or 162 in.²) are correct based on this calculation.