the sphere has the smallest surface area for any given volume.
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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.
Area is the measure of a two-dimensional space enclosed by a shape, and surface area is the sum of all the areas of the faces of a three-dimensional solid.
increase the surface area of a solid means to increase the area of solid
A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism.
Surface area of a shape depends on what shape you have in mind.