Question

What is the similarity ratio of a prism with surface area 361 ft2 to a similar prism with surface area 81 ft2?

Answer 1

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 2

`(91)/(9)` is the ratio.

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 :

`(√(361) )/(√(81) )` =
`(91)/(9)`

Or this can also be written as = 19:9