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**Quiz-Warm Up! Remember 5 minutes only!**

Fill in the graphic organizer using what you learned yesterday.

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**Rectangular Prism 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.

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**Rectangular Prism 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

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**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

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**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

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**Add together the areas for each rectangle**

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 = sq. units 32 96 sq units 32

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

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Cube or Square Use the four-step process to find the surface area of the cube. Step 1: Flatten (already done) Step 2: Transfer numbers Step 3: Find area of each face Step 4: Find total area 5 m 5 m

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Triangle

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**Triangular Prism Step 1: Flatten the 3-D figure**

A triangular prism will flatten to 3 rectangles and two equal triangles.

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**Triangular Prism Step 2: Transfer the dimensions to the 3-D Figure 10**

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

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**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

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Triangular Prism 15 15 8 8 10 10 A = 8 x 15 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

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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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**Cylinder Step 1: Flatten the 3-D shape**

A Cylinder will flatten to a rectangle and two equal circles.

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**Cylinder r = d 2 Step 2: Transfer the dimensions to the 3-D shape**

Diameter 8 Step 3: Transfer dimensions to the flattened shape Diameter = 8 radius Length = 4 Height 2Π4 = 8Π 8Π = 25 15 Height 15 15 Height - 15 25 Diameter - 8 Formulas to use: A = r = 4 r = d 2

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**Cylinder Step 4: Find the area for each shape 8 8 3.14 x 4 x 4 = 50**

25 Step 5: Add the areas for the shapes 15 25 x 15 15 A = 375 50 50 375 425 = Total surface area 4 A = 50

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