polyhedra & surface area. polyhedra polyhedron – solid with all flat surfaces that enclose a...
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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 I NET 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
2πr2 + 2πrh
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Find SA
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SA of a Cone
πr2 + πrl
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Find SA
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SA of Pyramid
Area of Base + n(sl)/2