6.3: Surface Areas of Pyramids and Cones

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6.3: Surface Areas of Pyramids and Cones

Definition Pyramid A polyhedron that has a polygon for the base and the lateral faces are triangles.

Formula Lateral Area of a Pyramid Surface Area of a Pyramid LA = p x l (l is the slant height) Surface Area of a Pyramid SA = LA + B (Area of the base)

Practice Find the surface area of the pyramid. LA = (1/2)pl Find the perimeter of the base. 8+8+8+8 = 32 Find the slant height. LA = (1/2)pl

Definition Cone Similar to a pyramid, but has a circle for a base.

Formula Lateral Area of a Cone Surface Area of a Cone LA = r x l (pi times radius times slant height) Surface Area of a Cone SA = LA + B (Area of the Circular Base)

Practice Find the surface area of the cone. Find the slant height LA = r x l = (3.14)(15)(25) SA = LA + B SA = 1177.5 + 706.5