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5.6 Surface Area of 3D Figures Date: ________________

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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 Define Surface Area:

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

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Steps: 1.Draw and label all of the faces 2.Find the area of each face 3.Add all of the faces together Surface Area of a Prism/Pyramid Sum of the area of its faces

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Find the surface area of the following prism: 7 cm 8 cm 5 cm 6 cm 7 6 8 5 2 of them 5 6 A = ½ (b)(h) = ½ (6)(7) = 21(2)= 42 cm 2 A = (b)(h) = (5)(8) = 40 (2) = 80 cm 2 A = (b)(h) = (5)(6) = 30 cm 2 Total Area = 42 + 80 + 30 = 152 cm 2

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Find the surface area of the following Square Pyramid: 12 10 4 of them A = ½ (b)(h) = ½ (10)(12) = 60(4)= 240 cm 2 A = (b)(h) = (10)(10) = 100 cm 2 Total Area = 240 + 100 = 340 cm 2 10 cm 12 cm

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Steps: 1.Identify the radius and height 2.Plus r and h into equation Surface Area of a Cylinder

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Find the surface area of the following prism: r = 8/2 14cm 8cm = 4 h = 14

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Steps: 1.Identify the radius and slant height 2.Plus r and s into equation Surface Area of a Cone

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Find the surface area of the following prism: r = 4/2 2.6 m 4 m = 2 s = 2.6m

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Steps: 1.Identify the radius 2.Plus r into equation Surface Area of a Sphere

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Find the surface area of the following prism: r = 9/2 = 4.5 9 in

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