Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

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Presentation transcript:

Polyhedra & Surface Area

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.

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.

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

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 INET 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