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Polyhedra & Surface Area
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Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose sides are polygons. Face – “side” of the polyhedron.
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Prism Prism – A polyhedron with two congruent parallel faces. The parallel faces are the bases of the prism. Faces – The sides OTHER THAN the bases. Prisms are named by their bases.
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Right prism: A prism whose lateral edges are altitudes Oblique prism: A prism whose lateral edges are not altitudes Types of Prisms
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Pyramid Pyramid – A polyhedron that has all its faces (except one) intersecting at a point. Pyramids are named by their base.
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Name each polyhedra 4. 5.
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Surface Area To find surface area of a prism, find the sum of the areas of all the faces of the prism. Net: A pattern for a three-dimensional solid Lateral faces: Rectangular faces that are not the bases Lateral edges: the parallel line segments formed when lateral faces meet
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= NET INET II
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Find SA
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SA of a Prism with regular base (Area of Base x 2) + (Area of rectangle x n)
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Find SA
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SA of a Prism with irregular Base (Area of Base x 2) + Lateral Area
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Find SA
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SA of a Cylinder 2πr 2 + 2πrh
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Find SA
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SA of a Cone πr 2 + πrl
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Find SA
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SA of Pyramid Area of Base + n(sl)/2
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