The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A) 56 m2
B) 100 m2
C) 500 m2
D) 200 m2

Thanks!

Question

The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A) 56 m2
B) 100 m2
C) 500 m2
D) 200 m2

Thanks!

anonymous · Answer

i think it's A, just by logic.

anonymous · Answer

Nice! I wish I could reason like that!

anonymous · Answer

Hey Uzma, do you concure?

anonymous · Answer

volumes go with the cube, surface area with the square

anonymous · Answer

ratio is 
$$\frac{125}{729}$$ which is the cube of 
$$\frac{5}{9}$$

anonymous · Answer

so the ratio of the surface areas will be 
$$\frac{25}{81}$$

anonymous · Answer

I'm following ya!

anonymous · Answer

and 
$$\frac{25}{81}\times 324=100$$

anonymous · Answer

that is your answer

anonymous · Answer

Thanks! its really helpful to see it written out like that!

anonymous · Answer

yw