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The Geometry Of Solids Notes

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The Geometry Of Solids Notes

  1. 1. The Geometry of Solids
  2. 2. Vocab./Terms <ul><li>Polyhedron – a solid formed by polygons that encloses a given space </li></ul><ul><li>Faces – the flat polygon shaped surfaces of a polyhedron </li></ul><ul><li>Edges – a line segment where 2 faces meet </li></ul><ul><li>Vertex – a point where 3 or more edges intersect (the corners of the polyhedron) </li></ul>
  3. 3. Vocab./Terms <ul><li>Just like polygons are classified/named by the number of sides that they have, a polyhedron is classified by its number of faces. </li></ul><ul><ul><li>The prefixes are the same, but they end in “-hedron,” not “-gon” </li></ul></ul>Hexahedron Heptahedron Dodecahedron
  4. 4. Vocab./Terms <ul><li>Regular Polyhedron – a polyhedron where each face is a regular polygon and all faces are congruent. </li></ul>Regular Hexahedron Regular Dodecahedron
  5. 5. Prisms <ul><li>A PRISM is a special type of polyhedron with 2 faces called bases that are congruent, parallel polygons. </li></ul><ul><li>The other faces of the prism, called lateral faces are parallelograms that connect the bases and they meet at lateral edges . </li></ul><ul><li>A prism is classified by its bases and then the word “Prism” </li></ul><ul><ul><li>What would we call these prisms? </li></ul></ul>1) 2) 3)
  6. 6. Pyramid <ul><li>Pyramid - A polyhedron with one base </li></ul><ul><ul><li>The other faces are called lateral faces </li></ul></ul><ul><ul><li>The point where the lateral faces meet is called the vertex </li></ul></ul><ul><li>A pyramid is also classified by the shape of its base </li></ul>Square Pyramid Hexagonal Pyramid Pentagonal Pyramid
  7. 7. Non-Polyhedra Solids <ul><li>Polyhedrons are geometric solids with flat surfaces. Some solids have curved surfaces. Can you name any? </li></ul>
  8. 8. Sphere <ul><li>Sphere – set of all points that are a given distance from a single point </li></ul><ul><ul><li>That single point is the center </li></ul></ul><ul><ul><li>That given distance from the point is the radius </li></ul></ul>
  9. 9. Cylinder <ul><li>Cylinder – A solid with congruent, parallel bases that are circles </li></ul><ul><ul><li>The radius of the cylinder is the radius of the circle base </li></ul></ul>
  10. 10. Cone <ul><li>Cone – a solid with a circle for a base and a single vertex point. </li></ul><ul><ul><li>Similar to a pyramid </li></ul></ul><ul><ul><li>The radius of the cone is the radius of the base </li></ul></ul>
  11. 11. How many ways could we classify this? 5cm 5cm 5cm • Polyhedron • Hexahedron • Regular Polyhedron • Regular Hexahedron • Prism • Rectangular Prism • Square Prism • Cube

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