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Finding Surface Area

Finding Surface Area. Step 1: Flatten the 3-D figure. Rectangular Prism. A rectangular prism will flatten to 6 rectangles. Depending on the dimensions of the 3-D figure, you will have different size rectangles. Finding Surface Area. Step 2: Transfer the dimensions to the 3-D figure.

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Finding Surface Area

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

  2. 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 Width 4 Length 12

  3. Finding Surface Area Rectangular Prism 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) 12 4 Height 8 Width 8 4 Length 12 12 4 8 8 4 12 4

  4. Finding Surface Area Rectangular Prism Step 4: Find the AREA for each rectangle. (Length X Width) Height 8 Width 4 12 Length 12 x 4 4 48 sq units 12 12 x 8 8 96 sq units 12 12 x 4 4 48 sq units 8 12 x 8 8 32 96 sq units 32 8 x 4 8 x 4 4 12 4

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

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

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

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

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

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

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

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