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Base (geometry)

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	Base (geometry)
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	Topics Base (geometry) Topic Home The base of any geometric figure is (for polygons) any side that you wish to measure from or, (for polyhedraPolyhedra Polyhedra may mean:* Polyhedra DBMS, a relational database system... ), any face that you wish to measure from. Bases are most commonly used in geometric formulas for areaArea Area is a physical quantity expressing the size of a part of a surface.... and volumeVolume Summary *'Volume', also called capacity, is a quantification of how much space a certain region occupies.... . It is most commonly represented by the variable . To distinguish side lengths from areas of bases in three-dimensional figures, the capital letter B often replaces b in signifying the area of a base. Examples The formula for the area of a triangleTriangle A triangle* is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line seg... : where is the length of the side from which you measure your perpendicular height . The formula for the volume of a coneCone Cone is a basic geometrical shape.... : The volume of the cone is the area of the base multiplied by one-third the height of the cone, where is the area of the circular face of the cone. For many three-dimensional figures, including cylindersCylinder (geometry) In mathematics, a cylinder is a quadric, i.e.... , prismsPrism (geometry) In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces ... , and polyhedraPolyhedra Polyhedra may mean:* Polyhedra DBMS, a relational database system... , the volume is simply the area of the base multiplied by the figure's height: V=Bh It is important to note that a geometrical base is perspective-dependent. For example, there is no single base on a scalene triangleTriangle A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line seg... . The formula for the area will stay consistent, however, because the height of the triangle is also variable depending on which side of the triangle is chosen as the base. For equilateral triangles, each side is equal; it therefore does not matter from which side a height is measured. For some three-dimensional figures there is only one base, e.g. a coneCone Cone is a basic geometrical shape.... , or it does not matter which base is chosen, e.g. a right circular cylinderCylinder (geometry) In mathematics, a cylinder is a quadric, i.e.... . The base in geometry is essential to determining the volume of certain polyhedra. A highly irregular, concave polygon may be the base of a prism; if the area of that base is known, the volume of the prism is also known. See also AreaArea Area is a physical quantity expressing the size of a part of a surface.... VolumeVolume *'Volume', also called capacity*, is a quantification of how much space a certain region occupies....