Answer:
The scale factor is equal to [tex]0.8[/tex] or [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
so
[tex]z^{3}=\frac{448}{875}=0.512\\ \\z=\sqrt[3]{0.512}\\ \\z=0.8[/tex]
convert to decimal form
[tex]0.8=\frac{8}{10}=\frac{4}{5}[/tex]
