By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral...
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Transcript of By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral...
![Page 1: 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.](https://reader035.fdocuments.us/reader035/viewer/2022081512/5697bf881a28abf838c898a4/html5/thumbnails/1.jpg)
Pyramids – The Triangular Mystery
By Mr. Martin
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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)
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Calculating LA and SA of regular pyramid
P = Perimeter of the baseL = Slant Height
B = Area of the Base
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Example Numero Uno
P = 4 * 3P = 12
L = 2.5
LA = (1/2) * 12 * 2.5LA = 15
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Example Numero Uno
LA = 15
B = ?? B = L * W
B = 3*3 = 9
SA = LA + B (15) + 9
SA = 24
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Example Numero Due
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P = 7 * 6P = 42
L = 13.4
LA = (1/2) * 42 * 13.4LA = 281.4
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LA = 281.4
B = ?? B = (1/2)ap
B = (1/2)(6.1)(42)B = 128.1
SA = LA + B (281.4) + 128.1
SA = 409.5
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Letter Go! Letter Go!Can’t find the slant height anymore!
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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Whaa???? We know the altitude but not the slant height…..
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Find the Slant Height…..
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Slant Height yo!
Now…find the surface area!!
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