Two similar solids have a scale factor or 6:7 .What is ratio of their volumes, expressed in lowest terms?Enter your answer in the boxes.

Answer:The ratio of their volumes is equal to [tex]\frac{216}{343}[/tex]  Step-by-step explanation:we know thatIf two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cubeLetz-----> the scale factorx/y----> the ratio of its volumesso[tex]z^{3}=\frac{x}{y}[/tex]we have[tex]z=\frac{6}{7}[/tex]substitute[tex](\frac{6}{7})^{3}=\frac{x}{y}[/tex][tex](\frac{216}{343})=\frac{x}{y}[/tex]rewrite[tex]\frac{x}{y}=(\frac{216}{343})[/tex] -----> the fraction is irreducible