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umka2103 [35]
4 years ago
13

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.
Mathematics
2 answers:
Arada [10]4 years ago
7 0
I just took the quiz the answer is 0.5
myrzilka [38]4 years ago
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}

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