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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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OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids.

OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids.

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