Lesson 11-5 Pages 578-582 Surface Area: Pyramids and Cones.

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Presentation transcript:

Lesson 11-5 Pages Surface Area: Pyramids and Cones

What you will learn! 1. How to find surface area of pyramids. 2. How to find surface area of cones.

Lateral face Slant height Lateral area

What you really need to know! The sides of a pyramid are called lateral faces.

What you really need to know! The sides are triangles. The height of each lateral face is called the slant height.

What you really need to know! The sum of the areas of the lateral faces is called the lateral area of a pyramid.

What you really need to know! The surface area of a pyramid is the lateral area plus the area of the base.

What you really need to know! The surface area of square pyramid is made up of 4 triangles and a square.

What you really need to know! The surface area S of a cone with slant height l and radius r is the lateral area plus the area of the base.

What you really need to know! S =  r l +  r 2 The lateral area of a cone with slant height l is one-half the circumference of the base, 2  r, times l.

Link to Pre-Made Lesson

Example 1: Find the surface area of the square pyramid:

Example 2: A canopy is in the shape of a square pyramid that is 3.4 meters on each side. The slant height is 2 meters. How much canvas is used for the canopy?

Canvas is not needed for the square base. We only need to find the lateral area.

Example 3: Find the surface area of the cone. Round to the nearest tenth.

Page 580 Guided Practice #’s 4-7

Pages with someone at home and study examples! Read:

Homework: Pages #’s 8-13, 17-21, 24-31, 34-39

Page 751 Lesson 11-5