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**Find the lateral and total surface areas of pyramids.**

regular pyramid slant height Main Idea/Vocabulary

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KC

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**Surface Areas of a Pyramid**

Find the lateral and total surface areas of the triangular pyramid. Find the lateral area and the area of the base. Area of each lateral face Area of a triangle Replace b with 5 and h with 8. Example 1

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**Surface Areas of a Pyramid**

There are 3 faces, so the lateral area is 3(20) or 60 square inches. Area of base A = 10.8 in2 Answer: The lateral surface area of the pyramid is 60 square inches. The total surface area is or 70.8 square inches. Example 1

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**Find the total surface area of the square pyramid.**

A. 156 cm2 B. 174 cm2 C. 182 cm2 D. 204 cm2 A B C D Example 1

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**Lateral surface area of a pyramid**

TOYS A toy block has the shape of a regular pyramid with a square base. The manufacturer wants to paint the lateral surface green. How many square centimeters will be painted green? Lateral surface area of a pyramid P = 7(4) or 28 and = 8 Simplify. Answer: The lateral surface area is 112 square centimeters. Example 2

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**TOYS A toy block has the shape of a regular pyramid with a square base**

TOYS A toy block has the shape of a regular pyramid with a square base. The manufacturer wants to paint the lateral surface green. How many square centimeters will be painted green? A. 175 cm2 B. 210 cm2 C. 235 cm2 D. 260 cm2 A B C D Example 2

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(over Lesson 7-7) Find the surface area of the given solid. Round to the nearest tenth if necessary. A yd2 B yd2 C yd2 D yd2 A B C D Five Minute Check 1

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(over Lesson 7-7) Find the surface area of the given solid. Round to the nearest tenth if necessary. A. 108 ft2 B. 114 ft2 C. 120 ft2 D. 132 ft2 A B C D Five Minute Check 2

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(over Lesson 7-7) Find the surface area of the given solid. Round to the nearest tenth if necessary. A. 1,442.9 m2 B m2 C m2 D m2 A B C D Five Minute Check 3

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(over Lesson 7-7) Find the surface area of a cylinder with diameter 14.5 in and height 6.25 in. Round to the nearest tenth if necessary. A in2 B in2 C in2 D. 1,890.5 in2 A B C D Five Minute Check 4

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(over Lesson 7-7) Find the surface area of a rectangular prism with length 20 cm, width 3 cm, and height 2 cm. Round to the nearest tenth if necessary. A. 50 cm2 B. 106 cm2 C. 120 cm2 D. 212 cm2 A B C D Five Minute Check 5

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(over Lesson 7-7) Jeffrey bought his father a can of tennis balls for his birthday. Jeffrey wants to wrap the can in wrapping paper. If the can has a height of 8.5 inches and a radius of 1.5 inches, how much wrapping paper will Jeffrey need? A in2 B in2 C in2 D in2 A B C D Five Minute Check 6

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