Question

A triangular prism has a surface area of 486 in.2
. If it were dilated using a scale factor of 1/3
, what would the new surface area be?(1 point)
Responses

54 in.2
54 in. squared

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

18 in.2
18 in. squared

162 in.2
162 in. squared

Answer 1

Surface area scales by the square of the scale factor. With k = 1/3, k^2 = 1/9, so new area = 486 × 1/9 = 54 in.^2.

Answer: 54 in.^2