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Published byCameron Mickle Modified over 8 years ago

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Finding Surface Area Step 1: Flatten the 3-D figure A rectangular prism will flatten to 6 rectangles. Depending on the dimensions of the 3-D figure, you will have different size rectangles. Rectangular Prism

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Finding Surface Area Step 2: Transfer the dimensions to the 3-D figure Dimensions: Length – 12 (the longest side) Height – 8 (top to bottom) Width – 4 (front to back) Rectangular Prism Height 8 Length 12 Width 4

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Finding Surface Area Step 3: Transfer the dimensions from the 3-D figure to the flattened figure Dimensions: Length – 12 (the longest side) Height – 8 (top to bottom) Width – 4 (front to back) Rectangular Prism Height 8 Length 12 Width 4 8 88 12 4 4 4 4

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Finding Surface Area Step 4: Find the AREA for each rectangle. (Length X Width) Rectangular Prism Height 8 Length 12 Width4 8 88 12 4 4 4 4 12 x 4 12 x 8 12 x 4 12 x 8 8 x 4 48 sq units 96 sq units 48 sq units 96 sq units32

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Finding Surface Area Step 4: Find the TOTAL SURFACE AREA for the 3-D Figure Add together the areas for each rectangle Rectangular Prism 8 12 4 48 sq units 96 sq units 48 sq units 96 sq units32 48 96 32 = 352 sq. units Total surface area

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Cube or Square A cube or square will flatten to 6 equal squares.

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Triangular Prism A triangular prism will flatten to 3 rectangles and two equal triangles. Step 1: Flatten the 3-D figure

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Triangular Prism The 2 triangles will form a rectangle 6 4 12 6 4 10 6 4 Step 2: Transfer the dimensions to the 3-D Figure Dimension: Base = 4 Height = 6 Hypotenuse = 12 Length = 10

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Triangular Prism 6 4 12 6 4 10 6 4 12 Transfer dimensions to Flattened Figure Step 3: 4 6

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Triangular Prism 8 6 10 8 6 15 8 6 10 Find the area for each rectangle and triangle Step 4: 8 6 Step 5: Write the area inside the specific shape A = 8 x 15 A = 10 x 15 A = 6 x 15 120 150 90 A = 6 x 8 2 24

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Triangular Prism 8 6 10 8 6 15 8 6 10 Add all the areas for the total surface area Step 6: 8 6 120 150 90 24 90 120 150 24 408 =Total surface area

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