Question

What is the similarity ratio of the smaller to the larger similar prisms? Enter your answer as a:b.

Answer 1

The surface area of the smaller prism is 9/25 the area of the larger one. So the linear dimensions are in the ratio of 3:5 .

Answer 2

The ratio is
`(3)/(5)` or 3:5

Explanation:

The surface area of the smaller image is = 18 square meter

The surface area of the bigger image is = 50 square meter

The similarity ratio of the smaller to the larger similar prisms is:

`(18)/(50)`

Divide by 2:

`(9)/(25)`

Dimensions will be in the ratio:

`(√(9) )/(√(25) )` =
`(3)/(5)` = 3:5