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Surface Area and Nets. Polyhedron. Polyhedron: a 3-dimensional object, or solid, whose faces are polygons. Polyhedron. Parts of Polyhedrons. Face: a flat surface on a solid Edge: segments joining faces together Vertex: corner; the point where 3 or more faces meet. Prism.
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Polyhedron • Polyhedron: a 3-dimensional object, or solid, whose faces are polygons
Parts of Polyhedrons • Face: a flat surface on a solid • Edge: segments joining faces together • Vertex: corner; the point where 3 or more faces meet
Prism • Prism: a polyhedron whose bases are congruent and parallel • Prisms are named for the shape of their bases.
Pyramid • Pyramid: a polyhedron that has a polygonal base but comes to a point
Pyramid • Pyramids are named after the shape of their base
Nets • Net: a flat figure that can be folded to form a closed three-dimensional object (solid). • We can use nets to help figure out the surface area of a solid shape • http://www.learner.org/interactives/geometry/area_surface.html
Nets • Rectangular Prism
Nets • Triangular Prism
Nets • Square Pyramid
Surface Area • Surface Area: the sum of the areas of all the faces of a 3D figure • To find the surface area of any shape, you can follow the process described below: • Draw a net of the polyhedron. • Calculate the area of each face. • Add up the area of all the faces.
Sources • Most of the information and some of the pictures on these slides comes from mathisfun.com • Some information comes from the textbook: Middle School Math by Scott Foresman—Addison Wesley Course 2, 1998 • Some drawings come from various locations on the web