Chapter 11: Surface Area and Volume Section 11-3: Surface Areas of Pyramids and Cones.

Slides:

Advertisements

Similar presentations

Chapter 12 – Surface Area and Volume of Solids

Advertisements

12 – 3 Cylinders and Cones.

Chapter 12. Section 12-1  Also called solids  Enclose part of space.

12-3. Pyramids  A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that.

Surface Areas of Pyramids Unit 5, Lesson 4

Here are a few terms Lateral edge Vertex Lateral face Altitude Base edge Base.

12.3 Surface Area of a Pyramids and Cones Slant Height ( l )

Surface Area of Pyramids & Cones Section Objectives Find the surface area of pyramids Find the surface area of cones.

Surface Area and Volume

12.3 Surface Area of Pyramids and Cones

Honors Geometry Section 7.3 Surface Area & Volume of Pyramids

Geometry 11-3 Surface Areas of Pyramids and Cones.

 A Polyhedron- (polyhedra or polyhedrons)  Is formed by 4 or more polygons (faces) that intersect only at the edges.  Encloses a region in space. 

Chapter 10: Surface Area and Volume

11.3 and 11.5: Pyramids and Cones. Pyramids Pyramid – A 3-D figure with one face (the base) that is any polygon and the other faces (the lateral faces)

11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)

Geometry B Section 12.3 Surface Area of Pyramids and Cones.

Chapter 11.3 Surface Areas of Pyramids and Cones.

Surface Area of Pyramids and Cones SWBAT: Define Pyramid, Vertex of a pyramid, slant height, Regular Pyramid, Cone, and Right cone. Find the area.

Chapter 11: Surface Area & Volume

Section 12.3 Surface Area of Pyramids and Cones. Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face.

Surface Area, Lateral Area, and Volume of Prisms and Pyramids

Surface Area The sum of the area of all the faces of a polyhedron.

Section 12.3 Surface Areas of Pyramids and Cones.

Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

GEOMETRY 10.5 Surface Area of Pyramids and Cones.

Section 12.3 Notes.

Chapter Surface Area of Pyramids and Cones.

WARM UP Find the Lateral and Surface Area of the following figures. Leave your answers in terms of π 10 minutes End.

Surface Areas of Pyramids Section Find the Surface Area… Find the surface area of a cylinder with a diameter of 10cm and a height of 15cm.

11-3 Surface Areas of Pyramids and Cones

Lesson 72, day 2 Pyramids and Cones. Pyramids Pyramid: geometric solid with a polygon base, and triangle faces (lateral faces) Vertex: top of the pyramid.

Warm Up Find the missing side length of each right triangle with legs a and b and hypotenuse c. 1. a = 7, b = c = 15, a = 9 3. b = 40, c = 41 4.

Geometry Surface Area of Pyramids and Cones. December 8, 2015 Goals Know what a pyramid is. Find the surface area of a pyramid. Know what a cone is. Find.

Chapter 11: Surface Area and Volume Section 11-2: Surface Areas of Prisms and Cylinders.

Gaby Pavia and Gaby Pages. Section 12-1 Bases: congruent polygons lying in parallel planes Altitude: segment joining the two base planes and perpendicular.

Surface Areas 8.7 Surface Area. Objective Apply the surface area formula to various 3-dimensional figures in order to find the area 8.7 Surface Area.

Boyd/Usilton.  A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.  A regular pyramid.

Section 9.2 Nack/Jones1 Section 9.2 Pyramids, Area, & Volume.

Surface Area of Pyramids Lesson Pyramids: Has only one base (polygon). Edges are not parallel but meet at a single point called the vertex. Lateral.

CHAPTER 12 AREAS AND VOLUMES OF SOLIDS 12-2 PYRAMIDS.

Surface area & Volume of Pyramids Tutorial 13d Pyramids §A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces.

12.5 Surface Areas of Pyramids What you’ll learn: 1.To find lateral areas of regular pyramids. 2.To find surface areas of regular pyramids.

1.Square/ Rectangle: A=b x h 2.Triangle: A= ½ b x h ( a triangle is ½ of a rectangle) 3.Circle: A = r2.

Group 6 Period 5 Problems Mac Smith, Jacob Sweeny Jack McBride.

Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone.

Surface Area and Volume of Pyramids Goal: Students will find the surface area and volume of pyramids.

Lesson 12-2 Pyramids (page 482) Essential Question How is the surface area and volume of pyramids different from prisms?

10-4 Surface Area of Pyramids and Cones

Warm Up Find the surface area of the right prisms.

The point opposite the base of the pyramid

9.2 Surface Area of Pyramids

12.2 Surface Areas of Pyramids

12.3 – Surface Area of Pyramids and Cones

Section 12-2 Pyramids.

9-1B Surface Area of Pyramids

LT 10.6: Know and apply surface area and volume for pyramids and cones

10-5 Surface Area of Pyramids & Cones

11.3 Surface Areas of Pyramids and Cones

12-2: Area and Volume of Pyramids

12.3 Surface Area of Pyramids and Cones

11-3 Surface Area of Pyramids and Cones

Warm-Up Complete Worksheet

Section 12-3 Cones.

12.3 Surface Area of Pyramids and Cones

Surface Area and Volume of Pyramids

10-4 surface area of pyramids and cones

Surface Area of Pyramids

Section 8.2 Pyramids, Area, & Volume

Presentation transcript:

Chapter 11: Surface Area and Volume Section 11-3: Surface Areas of Pyramids and Cones

Objective: To calculate the surface area of pyramids and cones.

Pyramid A pyramid is a polyhedron in which the base is a polygon and all lateral faces are triangles which meet at a vertex. A regular pyramid is a pyramid whose base is a regular polygon. The slant height is the length of the altitude of the lateral face.

Theorem 11-3: Lateral and Surface Area of a Pyramid The lateral area of a pyramid is the sum of the areas of the congruent lateral faces. The surface area of a pyramid is the lateral area plus the area of the base.

Example Find the lateral area Find the surface area

Cone A cone is a “pointed” like pyramid. The base of a cone is a circle. In a right cone, the altitude is the perpendicular segment from the vertex to the center of the base. The height is length of the altitude. The slant height l is the distance from the vertex to a point on the edge of the base.

Theorem 11-4: Lateral and Surface Areas of a Cone The lateral area of a right cone is half the product of the circumference of the base and the slant height. LA= p rl The surface area of a right cone is equal to the sum of the lateral area and the area of the base.

Example Find the lateral area Find the surface area