A cube has 6 faces of equal area, so if the total surface area of a cube is
6()2, then the area of one face is
()2.Likewise, the area of one face of a cube is the square of one of its sides; therefore, if the area of one face is
()2 , then the length of one side of thecube is
Since the perimeter of one face of a cube is four times the length of one side, the perimeter is
4()=aChoice A is incorrect because if the perimeter of one face of the cube is
,then the total surface area of the cube is
6()2=6()2,which is not
6()2 . Choice C is incorrect because if the perimeter of one face of the cube is 4a, then the total surface area of the cube is
6()2=6a2,which is not
6()2 Choice D is incorrect because if the perimeter of one face of the cube is 6a, then the total surface area of the cube is
6()2=6()2,which is not
6()2