The volumes of two similar solids are 1728 and 343. The surface area of the larger solid is 576. What is the surface area of the smaller solid?

Question

ashleyisakitty · Answer

**AFK will be back in 10

compassionate · Answer

This will be my last answer before I do my own work.

ashleyisakitty · Answer

back

ashleyisakitty · Answer

Thank you Stephen :3 Youre helping a lot

anonymous · Answer

I think if they're similar solids, the ratio of their volumes is the same as the ratio of their surface areas.

compassionate · Answer

ITT: @bagajr attempts to snipe me. 

Give me a moment, Ash, working it out on paper.

anonymous · Answer

Oh sorry lol

compassionate · Answer

Scale factor = (1728/343)^(1/3) = 12/7 
Let the surface area of the smaller solid be A, then: 
A * (12/7)^2 = 576 
So A = 196

I'm off to do my own work now, Ashley. Good luck on the rest of your exams. 

Merry Christmas.

ashleyisakitty · Answer

<3333

thank youuuuuu