Question

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)

162 in.2


18 in.2


1,458 in.2


54 in.2

Answer 1

When a figure is dilated by a linear scale factor k, surface area is multiplied by k^2. If the scale factor is 1/3, the area scale factor is (1/3)^2 = 1/9.

New surface area = 486 ÷ 9 = 54 in^2.

Answer: 54 in.^2