Verified Answer :

AL2006

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 \(\frac{3}{5}\) 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:

\(\frac{18}{50}\)

Divide by 2:

\(\frac{9}{25}\)

Dimensions will be in the ratio:

\(\frac{\sqrt{9} }{\sqrt{25} }\) = \(\frac{3}{5}\) = 3:5