Answer:
<h2>4</h2>
Step-by-step explanation:
The surface of a cube is defined as
Where is the length of a side.
If the surface is increased by a factor of 2, it would be
That is, each side would be double after such transformation. So, the surface of the increased cube is
Now, the initial volume of the cube is
After the increase, it would be
So, the increased volume is
Now, to find changing factor of the volume per unit area of surface, we have first have to notice the change in the area of the surface and its volume.
If you observe, the surface changed by a factor of 2, and the volume changed by a factor of 8. If we divide this
This means that the change of volume per unit area of surface is 4.