Question

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

Answer 1

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

Answer 2

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 .