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SOLUTION :-
let assume that, the side of first cube be a and side of second cube be A.
the volume of first cube(a) = a³
And Volume of second cube(A) = A³
.°. (a/A)³=a³/A³ = 1/64 = (1)³/(4)³ = (1/4)³
.°. (a/A)³ = (1/4)³
.°. a/ A= 1/4 -----(1)
.°. the area of first cube(a)= 6a²
Or area of second cube(A)= 6A²
6a²/6A²
a²/A²
(1)²/(4)² -----[from equ. (1)]
1/16
Hence, the ratio of the area is 1:16.
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