Solid geometry

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Solid geometry

  1. 1. Solid geometry<br />Solid Geometry is the geometry of three-dimensional space, the kind of space we live in ...<br />
  2. 2. Three Dimensions<br />It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.<br />
  3. 3. Two main types of solids<br />Polyhedron<br />Non-polyherdon<br />
  4. 4. Polyhedra<br />A polyhedron is a solid made of flat surfaces. Each surface is a polygon. Examples:<br />Platonic solids -<br />tetrahedron<br />Cube (hexahedron)<br />octahedron<br />dodecahedron<br />icosahedron<br />
  5. 5. polyhedra<br />2. Prisms - A prism has the same cross section all along its length !<br />Square prism<br />Triangular prism<br />Pentagonal prism<br />
  6. 6. Pyramids<br />Pyramids - a solid shape or structure that has triangular sides that slope to meet in a point and a base that is often, but not necessarily, a square<br />
  7. 7. Parts of pyramid<br />A pyramid is made by connecting a base to an apex<br />
  8. 8. Types of pyramid<br />Pyramid <br />Base<br />TriangularPyramid<br />SquarePyramid:<br />
  9. 9. Non Polyhedra<br />Non polyhedra- Some solids have curved surfaces, or a mix of curved and flat surfaces (so they aren't polyhedra). Examples:<br />Sphere<br />Cylinder<br />Torus<br />Cone<br />
  10. 10. sphere<br />Sphere -a three-dimensional closed surface consisting of all points that are a given distance from a center<br />Properties:<br />It is perfectly symmetrical<br />It has no edges or vertices<br />All points on the surface are the same distance from the center<br />
  11. 11. cylinder<br />Cylinder – an object or shape with straight sides and circular ends with equal size <br />It has a flat base and a flat top<br />The base is the same as the top, and also in-between<br />It has one curved side<br />Because it has a curved surface it is not a polyhedron.<br />
  12. 12. Torus <br />Torus- a ring shaped surface<br />It can be made by revolving a small circle along a line made by another circle.<br />It has no edges or vertices<br />It is not a polyhedron<br />
  13. 13. Cone <br />Cone- has a circular based and <br />tapers to a point at the top or has <br />a circular top and tapers to a point <br />at the bottom.<br />It has a flat base<br />It has one curved side<br />Because it has a curved surface it is not a polyhedron.<br />
  14. 14. Prepared by:<br />NEIL B. MEMITA<br />Teacher III<br />San Isidro High School<br />Lupao, Nueva Ecija<br />Philippines<br />

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