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

thats is not the correct asnwer

Explanation:

Answer 2

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`