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?

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?

anonymous · Answer

@mathslover  could you help me ?

mathslover · Answer

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

anonymous · Answer

yes

mathslover · Answer

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?

anonymous · Answer

yes, thank you

mathslover · Answer

Great, welcome to OpenStudy and good luck!