12.3 – Surface Area of Pyramids and Cones

Slides:

Advertisements

Similar presentations

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.

Advertisements

6.3: Surface Areas of Pyramids and Cones

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 and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone.

12.3 Surface Area of Pyramids and Cones

Geometry 11-3 Surface Areas of Pyramids and Cones.

The Geometry of Solids Section 10.1.

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.

Lesson 12-5, 6, 13-2 Cones & Pyramids. Objectives Find lateral areas of regular pyramids Find surface areas of regular pyramids Find the volume of pyramids.

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.

Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

Surface Area of Pyramids Pyramid – A polyhedron with all faces except one intersecting a vertex. Pyramids are named for their bases, which can be a polygon.

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

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

Chapter Surface Area of Pyramids and Cones.

An introduction to 3D Figures

By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex.

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.

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.

Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.

Types of Solid Figures Lesson Vocabulary Polyhedron - solid figure with flat faces that are polygons Lateral faces - faces other than the base in.

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.

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

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

SURFACE AREA & VOLUME PYRAMIDS Unit 10 April 6, 2015.

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.

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Cones and Pyramids. What are cones and pyramids? A pyramid is a polyhedron with one base – A polyhedron is a solid with flat surfaces that are shapes.

Surface Area of a Cone and Pyramid. A cone has a circular base and a vertex that is not in the same plane as a base. In a right cone, the height meets.

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.

Pyramid – a polyhedron with one base (a polygon) and triangular lateral faces that meet at a common vertex. Regular Pyramid – a pyramid with a regular.

10-4 Surface Area of Pyramids and Cones

Surface Area of Pyramids and Cones

Warm Up Find the surface area of the right prisms.

9.3 Surface Area of Pyramids and Cones

The point opposite the base of the pyramid

9.2 Surface Area of Pyramids

9-1B Surface Area of Pyramids

Lesson 9-2: Prisms & Pyramids

10-4 Surface Areas of Pyramids

10-5 Surface Area of Pyramids & Cones

11.3 Surface Areas of Pyramids and Cones

Lesson 10.5 – 10.6 Surface Area of Prisms, Cylinders, Pyramids, Cones and Spheres Essential Question: How do you find the surface area of prisms, cylinders,

11-3 Surface Area of Pyramids and Cones

Surface Area of Pyramids and Cones

Lateral Area & Surface Area Of Pyramids & Cones

Warm-Up Complete Worksheet

11.3 and 11.5: Pyramids and Cones

10-4 Surface Areas of Pyramids

Surface Area and Volume of Pyramids

12.2 Surface Area of Prisms & Cylinders

10-4 surface area of pyramids and cones

Surface Area and Volume

Surface Areas of Pyramids and Cones

12.3 Surface Area of Pyramids and cones

Section 8.2 Pyramids, Area, & Volume

Presentation transcript:

12.3 – Surface Area of Pyramids and Cones

Pyramid: A polyhedron with one base

Lateral Face: The faces of the solid, not including the base

Height: The perpendicular distance from the vertex to the base Slant Height: The height of one of the lateral faces

Regular Pyramid: A pyramid with a regular polygon as a base

Cone: One circular base

Surface Area of a Regular Pyramid: B is the area of the base P is the perimeter of the base

Surface Area of a Right Cone:

1. Find the lateral area of each lateral face of the regular pyramid 1. Find the lateral area of each lateral face of the regular pyramid. Then find the surface area of the pyramid. B = s2 P = 9+9+9+9 B = (9)2 P = 36 B = 81

Find the lateral area of the regular shape.

Find the surface area of the regular shape. B = s2 P = 4+4+4+4 B = (4)2 P = 16 B = 16

Find the surface area of the regular shape. (10)(5) P = 50

Find the surface area of the regular shape.

6.The surface area of the right cone is 400πm². Find the value of x. -64π -64π 8π 8π 8 m