Question

The volume of Solid A is 171.5 m and the volume of Solid B is 500 m, If the solids are similar, find the scale factor of Solid A to Solid B.

Answer 1

Answer:

The scale factor is $1.429$

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

$z^{3}=\frac{x}{y}$

we have

$x=500\ m^{3}$

$y=171.5\ m^{3}$

substitute

$z^{3}=\frac{500}{171.5}$

$z=\sqrt[3]{\frac{500}{171.5}}=1.429$