Section 12.3 Surface Area of Pyramids and Cones. Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face.

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Presentation transcript:

Section 12.3 Surface Area of Pyramids and Cones

Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face Base height slant height

To find the slant height of the pyramid, use the PYTHAGOREAN THEOREM Ex. 1 Slant Height 321 L -slant height ½ side length 150 a² + b² = c² ( l² )

Surface Area of a Regular Pyramid: S = B + ½ P l B- area of the base P- perimeter of the base L - slant height

Ex. 3 a² + b² = l ² 12² + 4² = l ² = l S = B + ½ P l S = (8  8) + ½ (32)(12.65) S = S = ft²

Surface Area of a Right Cone: S = πr² + πr l L - slant height r- radius

To find the slant height of a cone, use the PYTHAGOREAN THEOREM Ex. 7 a² + b² = l ² 14² + 8² = l ² 16.1 = l 16.1 S = πr² + πr l S= π (8²) + π (8) (16.1) S = S = m²