Polyhedra Surface Area Polyhedra Polyhedron Solid with all

Polyhedra • Polyhedron – Solid with all flat surfaces that enclose a single region

Prism • Prism – A polyhedron with two congruent parallel faces. • The parallel

Types of Prisms Right prism: A prism whose lateral edges are altitudes Oblique prism:

Pyramid • Pyramid – A polyhedron that has all its faces (except one) intersecting

Surface Area • To find surface area of a prism, find the sum of

SA of a Prism with regular base (Area of Base x 2) + (Area

SA of a Prism with irregular Base (Area of Base x 2) + Lateral

Slides: 26

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Polyhedra & Surface Area

Polyhedra • Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3 D figure whose sides are polygons. • Face – “side” of the polyhedron.

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.

Types of Prisms Right prism: A prism whose lateral edges are altitudes Oblique prism: A prism whose lateral edges are not altitudes

Pyramid • Pyramid – A polyhedron that has all its faces (except one) intersecting at a point. • Pyramids are named by their base.

Name each polyhedra 4. 5.

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

NET I = NET II

Find SA

SA of a Prism with regular base (Area of Base x 2) + (Area of rectangle x n)

Find SA

SA of a Prism with irregular Base (Area of Base x 2) + Lateral Area

Find SA

SA of a Cylinder 2πr 2 + 2πrh

Find SA

SA of a Cone πr 2 + πrl

Find SA

SA of Pyramid Area of Base + n(sl)/2