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Lesson 7 Surface Area of Pyramids

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1 Lesson 7 Surface Area of Pyramids
Unit 4B Measure Figures Lesson 7 Surface Area of Pyramids

2 Lesson 7: Surface Area of Pyramids
Objective: Swbat find the surface area of pyramids. Do Now: Quick Check Worksheet

3 Lesson 7: Surface Area of Pyramids
Definitions Lateral surface area is the sum of the areas of all its lateral faces. Slant height is the height of each lateral face.

4 Lesson 7: Surface Area of Pyramids
Lateral area L.A. = ½ (Perimeter of the Base)(slant height) = 1Pl 2 Total Surface Area S.A. = Area of the Base + L.A. = B + 1Pl

5 Lesson 7: Surface Area of Pyramids
Total Surface Area S.A. = Area of the Base + Area of Triangles

6 Lesson 7: Surface Area of Pyramids Rectangular Pyramid Net

7 Lesson 7: Surface Area of Pyramids

8 Lesson 7: Surface Area of Pyramids
Example #1:

9 Lesson 7: Surface Area of Pyramids
Example #2: 10 m 16 m area of base 43.3 m2

10 Lesson 7: Surface Area of Pyramids
Example #3: The base of a square pyramid has a side length of 50 centimeters. The slant height is 32 centimeters. Find the surface area.

11 Lesson 7: Surface Area of Pyramids
Example #4: An equilateral triangular pyramid has a slant height of 8.3 inches. The triangular base has a perimeter of 4.8 inches and an area of 1.1 square inches. Find the surface area of the pyramid.

12 Classwork Guided Practice: #1 - 4 Independent Practice: #1 - 7 Problem Solving Practice: # 1 - 6

13 Closure Question: What is the difference between lateral area and total surface area? Exit Ticket Homework: Practice #1 - 9

14 Exit Ticket Amado purchased a bottle of perfume that is in the shape of a square pyramid. The slant height of the bottle is 4.5 inches and the base is 2 inches. Find the surface area.

15 Homework


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