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.

Question

asked Sep 16, 2020 80.6k views

2 Answers

Hitesh Dangi · Answer 1 · 2020-09-22T20:49:05+0000

Answer:

The scale factor is
1.429

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)=(x)/(y)

we have

$x=500\ m^(3)$

$y=171.5\ m^(3)$

substitute

z^(3)=(500)/(171.5)

$z=\sqrt[3]{(500)/(171.5)}=1.429$