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If the scale factor of two similar solids is 5:13, what is the ratio of their corresponding areas and volumes?
A 125:2,197 and 25:169
B 25:169 and 125:2,197
C 10:26 and 15:39 *My Guess?
D 5:169 and 5:2,197

Question

love_333 · Answer

@Erak ?

love_333 · Answer

C?

erak · Answer

I'm pretty sure it's b, hold up

erak · Answer

Yeah I believe it's B, I just used a two cubes, 5x5x5 and 13x13x13 and tested their SA/areas

love_333 · Answer

Okay, Well I wasn't very sure of my answer. You def. seem to be better at this than me, so i'll take your word for it lol

erak · Answer

I mean SA for 5cube = 6*5^2 = 150
SA for 13cube = 6*13^2 = 1014

Ratio is 150/1014 = 0.1479

Given ratio is 25/169 = 0.1479

Same with the volume