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12.2 – Surface Area of Prisms And Cylinders. Polyhedron with two parallel, congruent bases Named after its base Prism:

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Presentation on theme: "12.2 – Surface Area of Prisms And Cylinders. Polyhedron with two parallel, congruent bases Named after its base Prism:"— Presentation transcript:

1 12.2 – Surface Area of Prisms And Cylinders

2 Polyhedron with two parallel, congruent bases Named after its base Prism:

3 Surface area: Sum of the area of each face of the solid

4 Surface area: Sum of the area of each face of the solid Back Left Top Bottom Front Right

5 Lateral area: Area of each lateral face

6 Right Prism: Each lateral edge is perpendicular to both bases

7 Oblique Prism: Each lateral edge is NOT perpendicular to both bases

8 Cylinder: Prism with circular bases

9 Net: Two-dimensional representation of a solid

10 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

11 Surface Area of a Right Cylinder: H SA = 2B + PH

12 1. Name the solid that can be formed by the net. Cylinder

13 1. Name the solid that can be formed by the net. Triangular prism

14 1. Name the solid that can be formed by the net. rectangular prism

15 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

16 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

17 2. Find the surface area of the right solid. cm 2

18 2. Find the surface area of the right solid. ft 2 12ft 8ft

19 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

20 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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