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06/01/2014 5.3 Geometric Solids 3. Regular Polyhedrons: Solids are shapes with a closed, rigid surface that contains a space. 2. Polyhedral Solids: 1. Curved Solids: One or more of the faces are curved Every side (or face) is congruent. Therefore, every side is identical in size and shape. 4. Non Regular Polyhedron: Every side is NOT Congruent All of the faces are polygons 1 PRISMS: 2 PYRAMIDS: Formed by taking a 2D object and dragging it to make a 3D solid. The name of the pyramid refers to the shape of its base. Square Prism Triangular base Prism Note: The prism is named after the shape of the base!!!! (not the lateral faces) Properties of Prisms: • the bases are parallel and congruent • the lateral faces are perpendicular to the base • the height is the length of one of the lateral edges Properties of Pyramids • a polygon makes the base • the lateral faces are triangles • the height of each face is called the slant height • a pyramid is right when the height from the apex touches the base at 90° 3 4 CYLINDERS: Formed by taking a circle and dragging it to make a 3D solid. Practice: Page 163 # 1-5 Congruent bases Note: Cylinders can either be right or oblique Properties of Cylinders • two discs with the same radius make the bases • the radius of the base is the radius of the cylinder • the height is the distance from disc to disc 5 6 1