Question

What is the similarity ratio of a prism with surface area 36 ft2 to a similar prism with surface area 225 ft2?

Answer 1

answer choice?

Answer 2

\(\bf \cfrac{area1}{area2}=\cfrac{(side1)^2}{(side2)^2}\implies \cfrac{area1}{area2}=\left(\cfrac{side1}{side2}\right)^2
\\ \quad \\
\sqrt{\cfrac{area1}{area2}}=\cfrac{side1}{side2}\iff\textit{similarity ratio}\qquad thus
\\ \quad \\
\cfrac{36}{225}=\left(\cfrac{\square }{\square }\right)\implies \sqrt{\cfrac{36}{225}}=\cfrac{\square }{\square }\implies \cfrac{\sqrt{36}}{\sqrt{225}}=\cfrac{\square }{\square }\)

Answer 3

hmm \(\bf \cfrac{area1}{area2}=\cfrac{(side1)^2}{(side2)^2}\implies \cfrac{area1}{area2}=\left(\cfrac{side1}{side2}\right)^2
\\ \quad \\
\sqrt{\cfrac{area1}{area2}}=\cfrac{side1}{side2}\iff\textit{similarity ratio}\qquad thus
\\ \quad \\
\cfrac{36}{225}=\left(\cfrac{\square }{\square }\right)^2\implies \sqrt{\cfrac{36}{225}}=\cfrac{\square }{\square }\implies \cfrac{\sqrt{36}}{\sqrt{225}}=\cfrac{\square }{\square }\)

Answer 4

6.25