ACTIVITY 10 3 D FIGURES Polyhedra are three dimensional solids whose faces are polygons A polyhedron has faces edges and vertices Some regular polyhedra Tetrahedron Hexahedron Octahedron Dodecahedron Icosahedron Prism is a polyhedron with a pair of congruent faces called bases that lie in parallel planes The vertices of the bases are joined to form the lateral faces The prism is named according to the shape of its base Triangular Prism Pentagonal Prism HexagonalPrism DecagonalPrism Pyramid is a polyhedron formed by connecting the vertices of a polygon called the base to a point outside the plane of the polygon The point is called the apex of the pyramid SquarePyramid TriangularPyramid PentagonalPyramid Cylinder r radius and h height r h Cone h r r Sphere Complete the chart NAME Platonic Solids Tetrahedron Cube Octahedron Dodecahedron Icosahedron Prisms Triangular Rectangular Pentagonal Hexagonal Pyramids Triangular Rectangular Pentagonal Hexagonal FACE TYPE F of Faces V of vertices E of Edges 1 What relationship exists between the vertices faces and edges of Platonic solids 2 Describe an n gon prism 3 Develop a rule for finding the number of vertices edges and faces of an n gon prism 4 Describe an n gon pyramid 5 Develop a rule for finding the number of vertices edges and faces of an n gon pyramid 6 State Euler s formula for platonic solids 7 Does Euler s formula hold for Prisms Pyramids