"How do we calculate the therotical surface area calculation for 200 nm ,1micron meter and 10 micron meter?"
You can only describe the sphere with a single parameter (and calculate the surface area as pi.d2). All other (irregular) shapes (e.g. your plates) require at least 2 parameters to describe. The maximum dimension of a unit cube is 1.732 units... For a cube, 6 surface faces are exposed and I think that this is the hidden agenda to your question. Start with a unit cube and create new surface by division making zillions of new particles and increasing the SSA. As SSA = 6/D[3,2], then for unit density then 1 nm = 6000 m2/g, 100 nm = 60 m2/g, and 1 um = 6 m2/g
"How do we calculate the therotical surface area calculation for 200 nm ,1micron meter and 10 micron meter?"
You can only describe the sphere with a single parameter (and calculate the surface area as pi.d2). All other (irregular) shapes (e.g. your plates) require at least 2 parameters to describe. The maximum dimension of a unit cube is 1.732 units... For a cube, 6 surface faces are exposed and I think that this is the hidden agenda to your question. Start with a unit cube and create new surface by division making zillions of new particles and increasing the SSA. As SSA = 6/D[3,2], then for unit density then 1 nm = 6000 m2/g, 100 nm = 60 m2/g, and 1 um = 6 m2/g