1. Chapter 10 Extension Objective: To find missing dimensions
Finding Surface Areas of Composite Figures

2. Example 1 Finding Missing Dimensions (Prisms & Cylinders)
A) A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is 300 𝑐𝑚 2 . What is the height of the prism?

3. B). The volume of a cylinder is 600π 𝑐𝑚 3. The radius
B) The volume of a cylinder is 600π 𝑐𝑚 3 . The radius of a base of the cylinder is 5 cm. What is the height of the cylinder?
C) The volume of a cylinder is 135π 𝑐𝑚 3 . The height of the cylinder is 15 cm. What is the radius of a base of the cylinder?

4. Example 2 Finding Missing Dimensions (Cones & Pyramids)
A) The lateral area of a pyramid with square base is 𝑓𝑡 2 . Its base edges are 12 feet long. Find the height of the pyramid.

5. B). The lateral area of a cone is 48π 𝑖𝑛 2. The radius. is 12 in
B) The lateral area of a cone is 48π 𝑖𝑛 2 . The radius is 12 in. Find the slant height.
C) The volume of a cone is 82,418π 𝑐𝑚 3 . Its diameter is 203 cm. What is its height?

6. Example 3 Finding Missing Dimensions
The length of a side of the base (s), slant height, height, lateral area, and surface area are measurements of a square pyramid. Given two of the measurements, find the other three to the nearest tenth. A) s = 3 in., S.A. = 39 𝑖𝑛 2

7. The length of a side of the base (s), slant height, height, lateral area, and surface area are measurements of a square pyramid. Given two of the measurements, find the other three to the nearest tenth. B) h = 8 m., l = 10 m

8. Example 4 Finding Missing Dimensions
Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, find the other three to the nearest tenth. A) l = 10.6 ft., L.A. = 33.3 𝑓𝑡 2

9. Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, find the other three to the nearest tenth. B) C = 44 in., L.A. = 176 𝑖𝑛 2

10. Example 5 Surface Area of Composite Figures
Find the surface area to the nearest whole number. A)

11. Find the surface area to the nearest whole number. B)