C. 1 : 27
As an example, let's say that n is equal to 1. The volume of the first cube is n*n*n, since n stands for the measurement of each edge. n*n*n=1*1*1=1 cubic meter. Now, onto the second cube. The volume of the second cube is 3n*3n*3n, since 3n stands for the measurement of each edge. 3n*3n*3n=3*3*3 ( since 3n=3*1=3 ) which is equal to 27. The ratio of the volume of the first cube to the volume of the second cube is represented by n : 3n. Substituting the n on both sides for the n in our example, we get a final result and ratio of 1 : 27.