Respuesta :

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 [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

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