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

Question

3 years ago

13

or a fraction in simplest form, in the box.

2 answers:

Arada [10] · Answer 1 · 2021-11-18T21:10:54+03:00

Arada [10]3 years ago

7 0

I just took the quiz the answer is 0.5

myrzilka [38] · Answer 2 · 2021-11-18T18:41:00+03:00

3 0

Answer:

The scale factor is equal to $\frac{1}{2}$ 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

$z^{3}=\frac{45}{360}= \frac{1}{8}\\ \\z=\sqrt[3]{\frac{1}{8}}\\ \\z=\frac{1}{2}$