Surface Area of Prisms And Cylinders

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Surface Area of Prisms and Cylinders Section 12.2

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Presentation transcript:

Surface Area of Prisms And Cylinders

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

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

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

Lateral area: Area of each lateral face

Cylinder: Prism with circular bases

Net: Two-dimensional representation of a solid

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

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

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

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

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

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 = 60 + 154 SA = 214 m2 P = 5 + 6 + 5 + 6 B = bh P = 22 B = (5)(6) B = 30

SA = Ph + SA = 300 = 60 SA = 360 cm2 P = 5 + 12 + 13 P = 30 13 cm 2B 2. Find the surface area of the right solid. 13 cm SA = Ph + 2B SA = (5+12+13)(10) + 2(30) SA = (30)(10) + 2(30) SA = 300 = 60 SA = 360 cm2 P = 5 + 12 + 13 P = 30

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

2. Find the surface area of the right solid.

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

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