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11.1 Space Figures & Cross Sections

11.1 Space Figures & Cross Sections. polyhedron. a three-dimensional figure whose surfaces are polygons. Definititions. faces. edge. vertex. Euler’s Formula. The number of faces (F), vertices (V), and edges (E) of a polyhedron three-dimensional are related by the formula. Formula.

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11.1 Space Figures & Cross Sections

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  1. 11.1 Space Figures & Cross Sections

  2. polyhedron a three-dimensional figure whose surfaces are polygons Definititions faces edge vertex

  3. Euler’s Formula The number of faces (F), vertices (V), and edges (E) of a polyhedron three-dimensional are related by the formula Formula F + V = E + 2

  4. Example A polyhedron has 8 faces and 18 edges. How many vertices does this polyhedron have ? Formula F + V = E + 2 8 + V = 18 + 2 8 + V = 20 -8-8 V = 12

  5. Euler’s Formula The number of faces (F), vertices (V), and edges (E) of a polyhedron in two-dimensional are related by the formula Formula F + V = E + 1

  6. How many regions, vertices and segments are on the following polyhedron in 2-dimension space ? 27 26 28 7 29 25 9 8 10 11 12 13 Polyhedron 4 2 3 5 6 1 1 3 7 5 2 4 6 14 15 16 19 17 18 24 20 8 23 21 22 regions 8 segments 29

  7. How many regions, vertices and segments are on the following polyhedron in 2-dimension space ? vertices 22 15 16 14 17 22 21 20 19 18 12 13 Polyhedron 4 10 11 5 3 1 2 6 9 8 7 regions 8 segments 29

  8. Cross sections Slicing the polyhedron with a plane and examining the resulting figure.

  9. Assignment

  10. Assignment Workbook Page 463 all

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