The perimeter of a face of the new cube is 8 times larger than the previous cube. Let us say, the side of cube before increase is "a" Then perimeter of the cube = 12a ,
because the cube has 12 sides. And perimeter of a face of cube = 4a Now, the side length is increased by factor of 3 i.e. new side is 3a Thus, perimeter of new face of the cube = 4*3a = 12a
Therefore, the new perimeter is larger by = 12a - 4a = 8a