If the surface area of a cell increases by a factor of 100, the volume of that cell will
Decrease by a factor of 100.
Increase by a factor of 100.
Increase by a factor of 1000.
Remain the same.
Increase by a factor of 10.

Solution:

If the surface area of a cell increases by a factor of 100, the volume of that cell will increase by a factor of 1000.

Explanation -

If the surface area increases by 100, it means that the side of a cube is increased by 10, so the volume will increase by 1000 times.

Volume = 10 × 10 × 10 = 1000

Therefore, the volume of the cell will increase by a factor of 1000.

If the surface area of a cell increases by a factor of 100, the volume of that cell will
Decrease by a factor of 100.
Increase by a factor of 100.
Increase by a factor of 1000.
Remain the same.
Increase by a factor of 10.

Summary:

If the surface area of a cell increases by a factor of 100, the volume of that cell will increase by a factor of 1000.