Question

TWO CUBES HAVE VOLUME IN 21:64 FIND THEIR SURFACE AREA

Answer 1

Let the side of first cube = a
Let the side of second cube = A
Volume of first cube, V1 = a3 
volume of second cube, V2 = A3
Ratio of their volumes = V1V2 = a3A3 = 2764 ⇒ aA = 34
Surface area of first cube(S1) = 6a​​2
surface area of second cube(S2) = 6A2
S1S2 = 6a26A2 = (aA)2 = (34)2 = 916