Geometry HS Mathematics Unit: 09 Lesson: 01 Three-Dimensional Figures: Polyhedrons Geometric solids have three dimensions — _____________________________ Types of geometric solids: _______________________ – solid formed by polygons that enclose a region of space. The flat polygonal surfaces are called faces. The line segment where two faces meet is called an edge. The point of intersection of three or more edges is called a vertex. _______ _______ _______ triangular prism octahedron cylinder _______________ ____________________ ____________________ _________________ – type of polyhedron with two faces called bases, which are congruent, parallel polygons. Lateral faces are parallelograms connecting the bases. In right prisms lateral edges are perpendicular to the bases. A prism that is not a right prism is called an oblique prism. The altitude of any prism is the perpendicular distance from one base to the plane containing the other base. _______ ______ _ _______ _______ _______ __________ __________ Cube Oblique triangular prism ©2012, TESCCC 11/05/12 page 1 of 4 Geometry HS Mathematics Unit: 09 Lesson: 01 Three-Dimensional Figures: Polyhedrons Examples: L M A B D R C W Q N E H S V P F G O T U Guided Practice 1. Name the bases of the two prisms. The bases are shaded. a. Right rectangular prism b. Right hexagonal prism 2. Name the lateral faces of the two prisms. a. Right rectangular prism b. Right hexagonal prism 3. Name the edges of the two prisms. a. Right rectangular prism b. Right hexagonal prism 4. Name an altitude of the two prisms. a. Right rectangular prism b. Right hexagonal prism ©2012, TESCCC 11/05/12 page 2 of 4 Geometry HS Mathematics Unit: 09 Lesson: 01 Three-Dimensional Figures: Polyhedrons __________________ - type of polyhedron with only one base whose lateral faces meet at a common vertex. D Examples: V R E H T P Y Z C O U X T S F G Guided Practice 5. Name the base of the three pyramids. The bases are shaded. a. Triangular b. Square c. Trapezoidal 6. Name the lateral faces of the three pyramids. a. Triangular b. Square c. Trapezoidal 7. Name the edges of the three pyramids. a. Triangular b. Square c. Trapezoidal 8. Name an altitude of the three pyramids. a. Triangular b. Square c. Trapezoidal ©2012, TESCCC 11/05/12 page 3 of 4 Geometry HS Mathematics Unit: 09 Lesson: 01 Three-Dimensional Figures: Polyhedrons Practice Problems 1. Polyhedrons can be classified by number of sides, ______hedron. The prefixes are the same as used for polygons, with one exception. A polyhedron with four faces is called a tetrahedron. Name the following polyhedrons. a. b. c. 2. What are two other names for a cube? 3. Given the following figures, answer the questions. Bases are shaded. A M H 1.5 mm 18 in. B G L 12 in. C F 4.25 mm N D E 3.5 mm P O a. Name the prism. b. Name the bases of the prism. c. Name the lateral faces of the prism. d. Name the edges of the prism. e. What is the altitude of the prism? f. Name the pyramid. g. Name the base of the pyramid. h. Name the lateral faces of the pyramid. i. Name the vertex of the pyramid. j. Name the lateral edges of the pyramid. k. What is the height of the pyramid? ©2012, TESCCC 11/05/12 page 4 of 4 .