Question

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³. What is the scale factor? Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answer 1

I just took the quiz the answer is 0.5

Answer 2

The scale factor is equal to
`(1)/(2)` or
`0.5`

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

Let

z-----> the scale factor

`z^(3)=(45)/(360)= (1)/(8)\\ \\z=\sqrt[3]{(1)/(8)}\\ \\z=(1)/(2)`