Space Figures and Nets Section 6-1 Notes and vocabulary available on my home page

Polyhedron Three dimensional figure whose surfaces are polygons Faces – are made up of polygons Edge – a segment that is the intersection of two faces Vertex – point where edges meet

Polyhedron Vertex Faces Edge

EULER’S FORMULA E = F + V – 2 Edge = Faces + Vertices - 2

Regular Polyhedrons Polyhedron whose faces are congruent regular polygons, and the same number of faces meet at each vertex Tetrahedron – 4 faces (triangles) Hexahedron (Cube) – 6 faces (squares) Octahedron – 8 faces (triangles) Dodecahedron – 12 faces (pentagons) Icosahedron – 20 faces (triangles)

Regular Polyhedron

Surface Area Formulas Tetrahedron Hexahedron Octahedron Icosahedron

Net A two dimensional pattern of a three dimensional figure (polyhedron) Net for a cube

Example of Nets