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By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex.

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Presentation on theme: "By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex."— Presentation transcript:

1 By Mr. Martin

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3 Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex. Altitude: The perpendicular segment from the vertex to the base (height is the length of the altitude) Slant Height: The length of the altitude on a lateral face of the pyramid (denoted with an l)

4 P = Perimeter of the base L = Slant Height B = Area of the Base

5 P = 4 * 3 P = 12 L = 2.5 LA = (1/2) * 12 * 2.5 LA = 15

6 B = ??B = L * W B = 3*3 = 9 SA = LA + B (15) + 9 SA = 24

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8 P = 7 * 6 P = 42 L = 13.4 LA = (1/2) * 42 * 13.4 LA = 281.4

9 B = ??B = (1/2)ap B = (1/2)(6.1)(42) B = 128.1 SA = LA + B (281.4) + 128.1 SA = 409.5

10  To solve for LA of pyramids…all you need are 2 letters…  P  L  If you don’t have the slant height…but you have the altitude…you can use the Pythagorean Theorem!

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12 Whaa???? We know the altitude but not the slant height…..

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14 Now…find the surface area!!

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