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Published byPrudence Hunter Modified over 9 years ago
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Surface Area Surface area is found by finding the area of all the faces and then adding those answers up. Units 2 because it is area!
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Rectangular Prism How many faces are on here? 6 Find the area of each of the faces. A B C 4 5 in 6 Do any of the faces have the same area? A = 5 x 4 = 20 x 2 =40 B = 6 x 5 = 30 x 2 = 60 C = 4 x 6 = 24 x 2 = 48 If so, which ones? 148 in 2 Opposite faces are the same. Find the SA
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Cube Are all the faces the same?YES 4m How many faces are there? 6 Find the Surface area of one of the faces. A 4 x 4 = 16Take that times the number of faces. X 6 96 m 2 SA for a cube.
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Triangular Prism How many faces are there? 5 How many of each shape does it take to make this prism? 2 triangles and 3 rectangles = SA of a triangular prism 4 3 5 10 m Find the surface area. Start by finding the area of the triangle. 4 x 3/2 = 6 How many triangles were there? 2 x 2 = 12 Find the area of the 3 rectangles. 5 x 10 = 50 = front 4 x 10 = 40 = back 3 x 10 = 30 = bottom SA = 132 m 2 What is the final SA?
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SA You can find the SA of any prism by using the basic formula for SA which is 2B + LSA= SA LSA= lateral Surface area LSA= perimeter of the base x height of the prism B = the base of the prism.
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Triangular Prisms Use the same triangular prism we used before. Let’s us the formula this time. 2B + LSA=SA Find the area of the base, which is a triangle because it is a triangular prism. You will need two of them. Now, find the perimeter of that same base and multiply it by the Height. That is the LSA. Add that to the two bases. Now you should have the same answer as before. Either way is the correct way.
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Cylinders 6 10m What does it take to make this? 2 circles and 1 rectangle= a cylinder 2 B3.14 x 9 = 28.26X 2 = 56.52 + LSA(p x H) 3.14 x 6 =18.84 x 10 = 188.4 SA = 244.92 2B + LSA = SA
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Rectangular Prism A B C 7 6 in 9 2B + LSA= SA Area of Base x 2 = LSA = perimeter x Height = Total SA =
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Triangular Prism 8 17 22 m 15 2B + LSA= SA Area of Base x 2 = LSA = perimeter x Height = Total SA =
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