Answer:
The scale factor is [tex]1.429[/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
so
Let
z----> the scale factor
x----> volume of solid B
y ----> volume of solid A
[tex]z^{3}=\frac{x}{y}[/tex]
we have
[tex]x=500\ m^{3}[/tex]
[tex]y=171.5\ m^{3}[/tex]
substitute
[tex]z^{3}=\frac{500}{171.5}[/tex]
[tex]z=\sqrt[3]{\frac{500}{171.5}}=1.429[/tex]
