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Surface Area of Prisms And Cylinders

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Presentation on theme: "Surface Area of Prisms And Cylinders"— Presentation transcript:

1 Surface Area of Prisms And Cylinders

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

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

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

5 Lateral area: Area of each lateral face

6 Cylinder: Prism with circular bases

7 Net: Two-dimensional representation of a solid

8 Surface Area of a Right Prism:
SA = 2B + PH B = area of one base H P = Perimeter of one base H = Height of the prism

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

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

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

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

13 SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214 m2
2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (22)(7) SA = SA = 214 m2 P = B = bh P = 22 B = (5)(6) B = 30

14 SA = 2B + PH SA = 2(30) + (30)(10) SA = 60 + 300 SA = 360 cm2
2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (30)(10) SA = SA = 360 cm2 c2 = a2 + b2 c2 = (5)2 + (12)2 P = c2 = P = 30 c2 = 169 c = 13

15 2. Find the surface area of the right solid.
cm2

16 2. Find the surface area of the right solid.

17 SA = 2B + PH SA = 2(24) + (24)(9) SA = 48 + 216 SA = 264 ft2
2. Find the surface area of the right solid. SA = 2B + PH 9ft SA = 2(24) + (24)(9) SA = 8ft SA = 264 ft2 6ft c2 = (6)2 + (8)2 P = c2 = P = 24 c2 = 100 c = 10

18 2. Find the surface area of the right solid.
A cylindrical bass drum has a radius of 5 inches and a depth of 12 inches. Find the surface area. 5in 12in in2


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