The problem about the cube can be solved by dividing the surface area which is 1014 cm^2 by the number of faces of the cube which is 6. The solution is as follows:
A cube has 6 faces. To find the area of the face you:
1014/6 = 169cm
A = 169cm
Therefore, the area of one face of the cube is 169cm^2.
I hope it has come to your help.