Question

A triangular prism has a surface area of 486 in.2
486

in.
2
. If it were dilated using a scale factor of 13
1
3
, what would the new surface area be?(1 point)
Responses

162 in.2
162

in.
2

162 in. squared

1,458 in.2
1
,
458

in.
2

1,458 in. squared

18 in.2
18

in.
2

18 in. squared

54 in.2

Answer 1

Surface area scales by the square of the dilation factor. If the scale factor is 1/3, the area factor is (1/3)^2 = 1/9.

New surface area = 486 × 1/9 = 54 in.^2.

Answer: 54 in.^2.