Question

Medal /Fan
the volumes of two similar solids are 729m^3 and 125m^3. The surface area of the larger solid is 324m^2. What is the surface area of the smaller solid?

Answer 1

@mathslover could you help me ?

Answer 2

See, 729 = 9^3 and 125 = 5^3

Right?

Answer 3

yes

Answer 4

So, here I will consider the volume as the function of sides of the solid.

\(\cfrac{V_1}{V_2} = \cfrac{9^3}{5^3} = \cfrac{{L_1} ^3}{{L_2}^3}\)

So, the sides are in the ratio of 9:5

Surface area will be in the ratio of : \(\cfrac{{L_1}^2}{{L_2}^2} \)

Can you move on from here?

Answer 5

yes, thank you

Answer 6

Great, welcome to OpenStudy and good luck!