Problem :
Does a polygon have surface area?
Yes, it does. A polygon is two-dimensional, so it has
area. And polygons are surfaces.
We don't call the area of a polygon its surface area because a polygon is a
region in a
plane, and, as a surface, it only spans two dimensions. Area is sufficient to
describe the measurement of its combined length and width. But yes, it is
correct to say that a polygon has surface area. (The surface area of a
polyhedron is only the sum of the area of polygons!)
Problem :
What is a shortcut for calculating the surface area of a regular polyhedron?
The surface area of a regular polyhedron is
n times the area of one face, where
n is the number of sides that polyhedron has.
Problem :
The area of a circle is 4Π. What is the surface area of the sphere with the
same radius?
16Π
Problem :
What is the surface area of a cube with edge length 4 inches?
96 square inches
Problem :
Does surface area change with respect to the concavity of a polyhedron?
No. Only the size of a surface matters for surface area. The direction of the
surface has no bearing on surface area.