Question

Can Someone Help me Please!?!
I need help...
-Create and provide the dimensions for two similar figures of your choosing.

-What is the similarity ratio of these figures along with the ratio of their surface area and volume?

-Show how you go this, either using the actual volumes or using the formula, that the volume ratio is true.

Answer 1

i would make my life easy and draw two right triangle, say one is 3 - 4 - 5 and the other could be 9 - 12 - 15

Answer 2

oh that will not work because you want volume, so they have to be three dimensional. so how about two cubes?

Answer 3

one cube with edge 3 and the other with edge 9
so the ratio of the edges is 3 to 1 , the ration of the volumes is 9^3 to 3^3 or
\[\frac{729}{27}=27 \] i.e. 27 to 1

Answer 4

and the ratio of the surface area is
\[\frac{6\times 9^2}{6\times 3^2}=\frac{9^2}{3^2}=9\] i.e. 9 to 1