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The smallest prime is 2. One more than the smallest prime is 2+1=3. The cube root of 27 is 3 (because 3*3*3=27). So the answer is 27.
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
The volume of a cube is determined by cubing the length of one edge, so the cube root of the volume will give you the length of an edge. (In a cube, all of the edges are the same length)
The cube root of 1 will also be 1. You can check with the complementary operation: 1*1*1=1 (true).