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Published byBarrie Stephens Modified over 9 years ago
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12.2 – Surface Area of Prisms And Cylinders
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Polyhedron with two parallel, congruent bases Named after its base Prism:
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Surface area: Sum of the area of each face of the solid
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Surface area: Sum of the area of each face of the solid Back Left Top Bottom Front Right
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Lateral area: Area of each lateral face
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Right Prism: Each lateral edge is perpendicular to both bases
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Oblique Prism: Each lateral edge is NOT perpendicular to both bases
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Cylinder: Prism with circular bases
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Net: Two-dimensional representation of a solid
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Surface Area of a Right Prism: SA = 2B + PH B = area of one base P = Perimeter of one base H = Height of the prism H
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Surface Area of a Right Cylinder: H SA = 2B + PH
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1. Name the solid that can be formed by the net. Cylinder
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1. Name the solid that can be formed by the net. Triangular prism
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1. Name the solid that can be formed by the net. rectangular prism
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2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (22)(7) B = bh B = (5)(6) B = 30 P = 5 + 6 + 5 + 6 P = 22 SA = 60 + 154 SA = 214m2m2
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2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (30)(10) P = 5 + 12 + 13 P = 30 SA = 60 + 300 SA = 360cm 2 c 2 = a 2 + b 2 c 2 = (5) 2 + (12) 2 c 2 = 25 + 144 c 2 = 169 c = 13
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2. Find the surface area of the right solid. cm 2
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2. Find the surface area of the right solid. ft 2 12ft 8ft
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6ft 8ft 9ft 2. Find the surface area of the right solid. SA = 2B + PH SA = 2(24) + (24)(9) P = 6 + 8 + 10 P = 24 SA = 48 + 216 SA = 264ft 2 c 2 = (6) 2 + (8) 2 c 2 = 36 + 64 c 2 = 100 c = 10
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A cylindrical bass drum has a radius of 5 inches and a depth of 12 inches. Find the surface area. 2. Find the surface area of the right solid. 5in 12in in 2
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