There are different formulae for different shapes.
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It really depends on what solid you refer to. Basically, the surface area is basically taking a shape's net and finding the area of that.
to find the surface area you have to first find the area of each part then add the areas together.
You will need to find the surface area of each face and add them together.
You find the surface area of each of its six faces and add them together.
increase the surface area of a solid means to increase the area of solid