If the ratio of the volumes of two similar solids is 8:125, then what is the ratio of their surface areas?

Question

amistre64 · Answer

well, we can compare the volumes of a cube ot that of a square ...

amistre64 · Answer

a cube of side cbrt(8)  and a cube of side sqrt(125)

the squares have areas of (cbrt(8))^2 and  (cbrt(125))^2

amistre64 · Answer

what about cones?

V = 4/3 pi r^3

8V = 4/3 pi (r cbrt(8))^3

A = 4 pi (r cbrt(8))^2  same ratio

anonymous · Answer

I still don't understand.

amistre64 · Answer

the squares have areas of (cbrt(8))^2 and  (cbrt(125))^2

what more is there to say?

anonymous · Answer

I just don't get it. Why are you using squares?

anonymous · Answer

@jim_thompson5910 You're good at explaining things.. Do you know the answer?