A cone would fit the given description
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The formula for the surface area of a rectangular solid is = 2lw + 2lh + 2wh 2(length x width)+2(length x height)+2(width x height)
increase the surface area of a solid means to increase the area of solid
A a solid figure on a flat surface is a plane figure (I do believe)
It will increase it, as more of the outer surface of the solid is incontact with the liquid that it is dissolving in. :)
2 Faces ( 1 Base and 1 Curved surface )