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The base of any geometric figure is (for polygons) any side that you wish to measure from or (for polyhedra) any face that you wish to measure (or measure from). Bases are most commonly used in geometric formulae for area and volume. It is most commonly represented by the variable b A polygon (from the Greek poly, for many, and gonos, for angle) is a closed planar path composed of a finite number of sequential straight line segments. ... In mathematics, there are three related meanings of the term polyhedron: in the traditional meaning it is a 3-dimensional polytope, and in a newer meaning that exists alongside the older one it is a bounded or unbounded generalization of a polytope of any dimension. ... Area is a physical quantity expressing the size of a part of a surface. ... The volume of a solid object is the three-dimensional concept of how much space it occupies, often quantified numerically. ...
Examples
The formula for the area of a triangle: A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. ...
where b is the length of the side from which you measure your perpendicular height (h).
The formula for the volume of a cone: A cone is a basic geometrical shape: see cone (solid). ...
where B is the area of the circular face of the cone.