1 / 7

11.1 Space Figures and Cross Sections

11.1 Space Figures and Cross Sections. A polyhedron is a space figure, or three-dimensional figure, whose surfaces are polygons. Each polygon is a face of the polyhedron. An edge is a segment that is formed by the intersection of two faces.

tanya-jimenez
Télécharger la présentation

11.1 Space Figures and Cross Sections

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 11.1 Space Figures and Cross Sections • A polyhedron is a space figure, or three-dimensional figure, whose surfaces are polygons. • Each polygon is a face of the polyhedron. • An edge is a segment that is formed by the intersection of two faces. • A vertex is a point where three or more edges intersect.

  2. Identifying Vertices, Edges, and Faces • How many vertices, edges, and faces are in the polyhedron? List them. • Vertices: D, E, F, G, H • Edges: • Faces: Quadrilateral DEFG,

  3. Euler’s Formula • Leonhard Euler – a Swiss Mathematician – discovered relationship among the number of faces, vertices, and edges of any polyhedron. • Known as Euler’s Formula • The sum of the number of faces (F) and the vertices (V) of a polyhedron is two more than the number of its edges (E). F + V = E + 2

  4. Using Euler’s Formula • How many vertices, edges, and faces does the polyhedron have? Use your results to verify Euler’s Formula. F = 8 V = 12 E = 18 F + V = E + 2 8 + 12 = 18 + 2 20 = 20

  5. Cross Section • A cross section is the intersection of a solid and a plane. • Can think of a cross section as a very thin slice of the solid.

  6. Describing a Cross Section • What is the cross section formed by the plane and the solid? • The cross section is a rectangle.

  7. More Practice!!!!! • Homework – Textbook p. 692 #6 – 20 ALL.

More Related