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**5.6 Surface Area of 3D Figures**

Date: ________________

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**Define Surface Area: The amount of material it would take to**

cover a 3D shape. The area of everything on the outside of a space figure measured in square units

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**Types of space figures: Prism Pyramid Cylinder**

Cone Sphere a space figure with two parallel sides that are congruent a space figure with only one base; its faces are triangles a space figure with a curved surface and two congruent parallel bases that are circles a space figure with one circular base and a curved surface that comes to a point a space figure with no bases and only curved surfaces

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**Surface Area of a Prism/Pyramid**

Sum of the area of its faces Steps: Draw and label all of the faces Find the area of each face Add all of the faces together

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**Find the surface area of the following prism:**

8 2 of them 8 cm 2 of them 7 5 6 A = (b)(h) A = ½ (b)(h) 5 cm = (5)(8) 7 cm = ½ (6)(7) = 40 (2) = 80 cm2 = 21(2) = 42 cm2 6 cm A = (b)(h) 5 = (5)(6) 6 = 30 cm2 Total Area = = 152 cm2

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**Find the surface area of the following Square Pyramid:**

10 4 of them 12 cm 12 10 10 cm 10 A = (b)(h) A = ½ (b)(h) = (10)(10) = ½ (10)(12) = 100 cm2 = 60(4) = 240 cm2 Total Area = = 340 cm2

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**Surface Area of a Cylinder**

Steps: Identify the radius and height Plus r and h into equation

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**Find the surface area of the following prism:**

= 4 8cm h = 14 14cm

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**Surface Area of a Cone Steps: Identify the radius and slant height**

Plus r and s into equation

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**Find the surface area of the following prism:**

= 2 2.6 m s = 2.6m 4 m

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**Surface Area of a Sphere**

Steps: Identify the radius Plus r into equation

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**Find the surface area of the following prism:**

= 4.5 9 in

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Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.

Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.

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