Question

If the ratio of the sides of two cubes are 3:2 then find ratio of their surface areas will be

Answer 1

Let edges be a1 and a2, then a1 : a2 = 3 : 2
Surface area of cube 1 : Surface area of cube 2 = (6*3^2)/(6*2^2)
= 9 : 4.
Volume of cube 1 : volume of cube 2 = (3^3)/(2^3) =27 : 8
Note: ^ means power.