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– I can find the surface areas of prisms, pyramids, and cylinders
PA11.08 Surface Area – I can find the surface areas of prisms, pyramids, and cylinders
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Identify the figure described.
Warm Up Identify the figure described. 1. two parallel congruent faces, with the other faces being parallelograms 2. a polyhedron that has a vertex and a face at opposite ends, with the other faces being triangles prism pyramid 2
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The surface area of a three- dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces of a three-dimensional figure, you can use a net. 3
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A net is the pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure.
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What is the surface area of this prism?
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Find the surface area S of the prism.
Draw a net to help you see each face of the prism. Use the formula A = lw to find the area of each face. The surface area is 188 in2. 6
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Find the surface area S of each prism.
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Add the areas of each face.
Front: 9 7 = 63 63 2 = 126 Top: 9 5 = 45 45 2 = 90 Side: 7 5 = 35 35 2 = 70 S = = 286 Add the areas of each face. The surface area is 286 cm2. 8
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6 in. 3 in. 11 in. The surface area is 234 in2. 9
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8 cm 10 cm 6 cm The surface area is 376 cm2. 10
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S = area of square + 4 (area of triangular face)
The surface area is 161 ft2. 11
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S = area of square + 4 (area of triangular face)
The surface area is 125 ft2. 12
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Find the surface area of each figure. Use 3.14 for .
1. rectangular prism with base length 6 ft, width ft, and height 7 ft 2. cylinder with radius 3 ft and height 7 ft 3. Find the surface area of the figure shown. 214 ft2 188.4 ft2 208 ft2 13
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Square Pyramid 4.8 ft 5.6 ft
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Triangular Prism 6 in 3 in
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