Question

A prism with a volume of 875 m³ is scaled down to a volume of 448 m³.

What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.
explain how you got it too please

Answer 1

The scale factor is equal to
`0.8` or
`(4)/(5)`

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

`z^(3)=(448)/(875)=0.512\\ \\z=\sqrt[3]{0.512}\\ \\z=0.8`

convert to decimal form

`0.8=(8)/(10)=(4)/(5)`