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

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:
The ratio is [tex]\frac{3}{5}[/tex] or 3:5
Step-by-step 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:
[tex]\frac{18}{50}[/tex]
Divide by 2:
[tex]\frac{9}{25}[/tex]
Dimensions will be in the ratio:
[tex]\frac{\sqrt{9} }{\sqrt{25} }[/tex] = [tex]\frac{3}{5}[/tex] = 3:5