Solid Geometry
Solid geometry, also known as threedimensional geometry, is a branch of mathematics that deals with the properties and relationships of threedimensional objects, such as cubes, spheres, cylinders, cones, and pyramids. It is a fundamental area of study in mathematics and has many practical applications in fields such as engineering, architecture, physics, and computer graphics. Solid geometry builds on the concepts of plane geometry, extending them to three dimensions. Solid geometry plays a crucial role in many areas of science, engineering, and technology, including computeraided design (CAD), architecture, and physics. It provides a foundation for understanding the geometry of the physical world around us and is essential for solving many practical problems in a wide range of fields.
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Some important concepts in solid geometry include:
 The volume and surface area of various threedimensional shapes and figures
 The properties of prisms, such as the rectangular prism and triangular prism
 The properties of pyramids, such as the square pyramid and triangular pyramid
 The properties of cylinders, cones, and spheres, including formulas for their volumes and surface areas
 The use of coordinate geometry to describe the location and properties of points, lines, and shapes in threedimensional space.
 List of Tags  Abbreviations, Nomenclature and Symbols, Mathematics, Glossary, Solid Prism, Solid Pyramid, Solid Wedge
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solid Geometry Index
solid Geometry Classification
 Polyhedron  Is a solid with no curved edges or sides.
 Solid Prism  Prisms are solids with two congruent parallel polygon ends that are exactly the same.
 Oblique prism  Has with both bases not alligned above each other and the center not at 90° to the other base center.
 Right prism  Has both bases directly above each other and having the centers at 90° to each others base.
 Cube  Is a regular polyhedron with square faces.
 Right Hexagonal Prism  Has hexagonal bases and each face is a regular polygon with equal sides and equal angles.
 Right Octagonal prism 
 Right Pentagonal Prism  Has pentagonal bases and each face is a regular polygon with equal sides and qual angles.
 Right Rectangular Prism  Has six faces that are rectangles with equal sides and equal angles.
 Right Square Prism  Has square bases, four faces that are rectangles with equal sides and equal angles.
 Right Triangular prism 
 Solid Pyramid  Pyramids are solids with one polygon base and lateral faces that taper to an apex.
 Oblique Pyramid  The apex is not alligned above the center at 90° to the base.
 Right Pyramid  The apex is directly above the center at 90° to the base.
 Right Pentagonal Pyramid  Has a pentagon base and the apex alligned above the center of the base.
 Right Square Pyramid  Has a square base and the apex alligned above the center of the base.
 Right Triangular Pyramid  Has a triangle base and the apex alligned above the center of the base.
 Solid Wedge  Wedges have two triangle ends and three polygon sides.
 Isosceles Triangle Wedge  Has three rectangle sides and two isoscelees triangle sides.
 Right Triangle Wedge  Has two right triangle ends and three rectangle sides.
 Solid Prism  Prisms are solids with two congruent parallel polygon ends that are exactly the same.
 Nonpolyhedron  Is a solid with curved edges or sides.
 Cone  Cones have one circular base tapering to an apex.
 Oblique Cone  The apex is not alligned above the center at 90° to the base.
 Right Cone  Has a circle base with the apex alligned at 90° above the center of the base.
 Cylinder  Cylinders have two circular parallel congruent bases.
 Oblique Cylinder  Both bases not alligned above each other and the center not at 90° to the other base center.
 Right Cylinder  Both bases direictly above each other and having the centers at 90° to each others base.
 Right Elliptic Cylinder  No parallel lines and both bases are ellipses.
 Right Hollow Cylinder  A hollow core with both bases direictly above each other and having the center at 90° to each others base.
 Ellipsoid  Ellipsoids have a spherical like shape with an ellipse cross section.
 Paraboloid 
 Elliptic Paraboloid  Has a ushaped curve with an elliptical base.
 Sphere  All points equally spaces from a given point of a three dimensional solid.
 Torus  Is shaped like a donut.
 Cone  Cones have one circular base tapering to an apex.