Question

The volumes of two similar figures 27mm^3 and 1331mm^3. If the surface area of the smaller figure is 18mm^2, what is the surface area of the larger figure

Answer 1

V1 / V2 = (s1 / s2)^3
A1 / A2 = (s1 / s2)^2

Answer 2

So
27 / 1331 = (s1 / s2)^3
s1 / s2 = cbrt (27 / 1331) = 3 / 11
A1 / A2 = (3 / 11)^2 = 9 / 121
18 / A2 = 9 / 121
A2 = 18 / (9 / 121) = 242 mm^2