Question

Use the given information to find the scale factor of the smaller figure to the larger figure.

Answer 1

you're given Volumes of both figures

Answer 2

x=small
y=big
scale of small to big = x/y

Answer 3

use this :-
if volume are in ratio \(\large v_1 : v_2\), then sides will be in ratio \(\large \sqrt[3]{v_1} : \sqrt[3]{v_2}\)

Answer 4

cancel out the pi*ft^3 from both and look at the constants for your ratio

Answer 5

\[\sqrt[2]{250 \pi (ft)^3}:\sqrt[2]{432 \pi(ft)^3}\]

Answer 6

Yes !

Answer 7

ok so what do i need to do nest

Answer 8

next*

Answer 9

\(\large \sqrt[3]{250(ft)^3} : \sqrt[3]{432(ft)^3}\)


\(\large \frac{\sqrt[3]{250(ft)^3}}{ \sqrt[3]{432(ft)^3}}\)

\(\large \sqrt[3]{\frac{250(ft)^3}{ 432(ft)^3}}\)

\(\large \sqrt[3]{\frac{250}{ 432}}\)

Answer 10

simplify

Answer 11

oh ok

Answer 12

is that a 3 before the sqrt

Answer 13

its called cube-root

Answer 14

wolfram says, scale factor = 5/6

http://www.wolframalpha.com/input/?i=%28250%2F432%29%5E%281%2F3%29