Question

the ratio of the surface areas of two cubes is 27:64 find the ratio of their volumes​

Answer 1

Answer:

Given: Ratio of volumes = 64 : 27

⇒Volume of cube of side aVolume of cube of side b=a3b3=6427

⇒ab=43

Now, ratio of surface areas of cubes=Surface area of cube of side aSurface area of cube of side b=6a26b2=a2b2=4232=169

Therefore, the required ratio is 16:9.