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**Surface Area of Pyramids**

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**Surface Area of Pyramids**

What is a pyramid? Polyhedron with one base and triangular faces that meet at a vertex How do you find Surface Area? Sum of the areas of all the surfaces of a 3-D Figure click to reveal click to reveal

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Find the Surface Area. 17.5 cm go on to see steps 7 cm 8 cm

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**Find the Surface Area. Bottom Front/Back Left/Right Rectangle**

8 cm 7 cm 17.5 cm 8 cm Bottom Rectangle 8 x 7 56 Front/Back Triangles Left/Right Triangles Surface Area 56 140 318.5 cm2

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Find the surface area of a square pyramid with base edge of 4 inches and triangle height of 3 inches. 4 in 3 in Base 4 x 4 16 4 Triangles Surface Area 16 + 24 40 in2 click to reveal click to reveal click to reveal

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Find the surface area. Be sure to look at the base to see if it is an equilateral or isosceles triangle (making all or two of the side triangles equivalent!). Triangles (all equal) Base click to reveal click to reveal 6 in 4 in 3.5 in Surface Area 7 + 36 43 in2 4 in 4 in click to reveal

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42 Which has a greater Surface Area, a square pyramid with a base edge of 8 in and a height of 4 in or a cube with an edge of 5 in? A Square Pyramid B Cube Answer: B Square Pyramid Cube Bases Triangles faces A = s A = (1/2)bh x A = s 2 x 6 A = A = (1/2)(8)(4) x A = 52 x 6 A = 64 in A = 64 in A = 150 in2 SA= 128 in2

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43 Find the Surface Area of a triangular pyramid with base edges of 8 in, base height of 4 in and a slant height of 10 in. 8 in 10 in 6.9 in Answer: 147.6 Bases Triangles A = (1/2)bh A = (1/2)bh x 3 A = (1/2)(8)(6.9) A = (1/2)(8)(10) x 3 A = A = 120 SA= = in2

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**44 Find the Surface Area. 11 m 12 m 6.7 m 9 m 9 m Answer: 205.2**

Bases Triangles A = (1/2)bh A = (1/2)bh x 2 + (1/2) bh A = (1/2)(12)(6.7) A = (1/2)(9)(11) x 2 + (1/2)(12)(11) A = A = A = 165 SA= = in2 9 m 9 m

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