Usually they do not. The surface areas are part of the solid and so they belong to closed sets.
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Resistance to deformation.
The surface area of a polyhedron can be calculated by first calculating the area of each of its polygonal surfaces and adding these together.The surface area of some curved solids (sphere, cylinder, cone) can be calculated from formula but for most curved solids are more complicated and require integration.
A parabola is a two dimensional open curve. Its area is therefore infinite.
Circles, squares, rectangles, and triangles are solids that have a flat surface.
1. Plane Figures- A flat, closed figure that is in a plane- A plane figure can be made of straight lines, curved lines, or both straight and curved lines.2. Solid Figures- The figures which occupy space are called solids.- Solids are three dimensional figures i.e., they have length, breadth & height.- There are two important facts related to solids-a. Every solid has a surface area. Some solids have plane surfaces, others have curved surfaces.b. Every solid has a 'bulk' & its bulk occupies some space.3. Surface area-It is the sum of areas of all visible (exposed) surfaces of a solid.4. Volume-It is the three dimensional space occupied by a solid, liquid or gas.5. Lateral surface area - is the sum of the surface areas of all its faces excluding the base.6. Total surface area - is the sum of the surface areas of all its faces including the base.