Verified Answer :

the ratio of the surface areas are 361/81. 

surface area is a 2D measurement.

similarity is a 1D ratio.

square root of 361/81 is 19/9.

Answer:

\(\frac{91}{9}\) is the ratio.

Step-by-step explanation:

The surface area of prism 1 is given as = 361 square feet

The surface area of prism 2 is given as = 81 square feet

So, the similarity ratio of prism 1 to prism 2 is given by :

\(\frac{\sqrt{361} }{\sqrt{81} }\) = \(\frac{91}{9}\)

Or this can also be written as = 19:9