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It will increase it, as more of the outer surface of the solid is incontact with the liquid that it is dissolving in. :)
You increase the surface area
There is no such thing as "surface area" of "solubility" since the latter refers to the maximum concentration in the solution of a solid (or liquid) in a liquid. "Surface area", as applied to such a phenomenon is meaningless. However, by *increasing* the surface area of, say, a salt, by grinding it, will increase its solubility. Maybe *that* is what the questioner meant.
increase the surface area of a solid means to increase the area of solid
Brass is a solid solution of copper and zinc. Steel is a solid solution of iron, carbon, and perhaps other materials such as chrome or nickel.BronzeBrassSteelMince MetalLead crystal glassware