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The higher the ratio, the faster the rate of diffusion
It would help if the question was less obscure. What do you mean by "work"? How the surface area affects chemical processes (for example the surface area of catalysts), or diffusion, or surface areas and friction?
For example, the amount of nutrients a cell can absorb are proportional to its surface area.
All chemical reactions take place on surfaces = so very important
so it can get more sun