Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Chapter 10 Extension Objective: To find missing dimensions Finding Surface Areas of Composite Figures Example 1 A) Finding Missing Dimensions (Prisms & Cylinders) A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is 300 𝑐𝑚2 . What is the height of the prism? B) The volume of a cylinder is 600π𝑐𝑚3 . 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 135π𝑐𝑚3 . The height of the cylinder is 15 cm. What is the radius of a base of the cylinder? Example 2 A) Finding Missing Dimensions (Cones & Pyramids) The lateral area of a pyramid with square base is 240 𝑓𝑡 2 . Its base edges are 12 feet long. Find the height of the pyramid. B) The lateral area of a cone is 48π𝑖𝑛2 . The radius is 12 in. Find the slant height. C) The volume of a cone is 82,418π 𝑐𝑚3 . Its diameter is 203 cm. What is its height? 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 𝑖𝑛2 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 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 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. = 176𝑖𝑛2 Example 5 Surface Area of Composite Figures Find the surface area to the nearest whole number. A) Find the surface area to the nearest whole number. B)