The volume of the two cubes are in the ratio 64:27. Find the ratio of their surface area.
16:9
Given: Ratio of their volume = 64:27.
⇒Volume of cube of side aVolume of cube of side b=a3b3=6427
⇒ab=43
Now, ratio of their surface area =Surface area of cube of side aSurface area of cube of side b=6a26b2=a2b2=4232=169
∵ab=43
Therefore, the required ratio is 16:9.