Q. 65.0( 4 Votes )

The volumes of two cubes are in the ratio 8:27. Find the ratio of their surface areas.

Answer :

Given,


Ratio of two cube = 8:27


Let the edges of the cubes to x and y


As,





…………..(i)


Now,


The ratio of the surface areas of the cubes


6x2/6y2


= (x/y)2


= (2/3)2 …………………….. [Using (i)]


= 4/9


= 4 : 9


So,


The ratio of the surface areas of the given cubes is 4 : 9.


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