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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

Respuesta :

calculista

Answer:

The scale factor is equal to [tex]0.8[/tex] or [tex]\frac{4}{5}[/tex]

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

so

[tex]z^{3}=\frac{448}{875}=0.512\\ \\z=\sqrt[3]{0.512}\\ \\z=0.8[/tex]

convert to decimal form

[tex]0.8=\frac{8}{10}=\frac{4}{5}[/tex]

triniteeavion14

Answer:

he or she was right

Step-by-step explanation:

Ver imagen triniteeavion14