The formula for the volume of a cube is V = s^3, where s is the length of one side of the cube. If the total volume of the cube is 12527 cubic inches, then we can solve for s as follows:
12527 = s^3
s = 25
Therefore, each side of the cube has length 25 inches. The formula for the surface area of a cube is A = 6s^2, where s is the length of one side. Substituting s = 25, we get:
A = 6(25)^2
A = 3750
Therefore, the area of a single face of the cube is 3750 square inches.