Question

what is the similarity ratio of two cubes with volumes of 64 cubic centimeters and 125 cubic centimeters?

Answer 1

\(\bf \textit{ratio of similarity}\\
\cfrac{a}{b} \qquad \textit{single units}\\
\cfrac{a^2}{b^2} \qquad \textit{dual units}\\
\cfrac{a^3}{b^3} \qquad \textit{triple units}\\
\textit{volume uses 3 units, thus}\\
\cfrac{64}{125} \implies \cfrac{4^3}{5^3} \qquad \qquad \textit{similarity ratio}=\cfrac{4}{5}\)