Honors Geometry Companion Book, Volume 2

10.2.2 Surface Area of Pyramids and Cones − Worksheet

Example 1: Find the lateral area and surface area of each regular pyramid. 1. 2.

12 cm

15 ft

16 ft

8 cm

16 ft

3. a regular triangular pyramid with base edge length 15 in. and slant height 20 in.

Example 2: Find the lateral area and surface area of each right cone. Give your answers in terms of π . 4. 5.

24 in.

22 m

25 in.

14 m

6.  a cone with base area 36 π ft 2 and slant height 8 ft

Example 3: Describe the effect of each change on the surface area of the given figure. 7. The dimensions are cut in half. 8. The dimensions are tripled.

15 cm

10 in.

9 cm

6 in.

6 in.

194

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