9.2 Surface Area of Pyramids

Slides:

Advertisements

Similar presentations

Characteristics of 3-D Shapes

Advertisements

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

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

Surface Area and Volume

Honors Geometry Section 7.3 Surface Area & Volume of Pyramids

Geometry 11-3 Surface Areas of Pyramids and Cones.

Pyramids Geometry Mr. Bower BowerPower.net. Pyramid There are a lot of interesting parts to a pyramid We will focus on pyramids that have regular polygons.

Surface Area of Pyramids and Cones. Vocabulary Regular pyramid- a pyramid whose base is a regular polygon, and the faces are congruent isosceles triangles.

VOLUME Volume is a measure of the space within a solid figure, like ball, a cube, cylinder or pyramid. Its units are at all times cubic. The formula of.

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

Chapter 9 9.3: Surface Area and Volume of Pyramids

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

Section 12.3 Surface Areas of Pyramids and Cones.

Identify the Faces, Edges, Vertices.

GEOMETRY 10.5 Surface Area of Pyramids and Cones.

Section 12.3 Notes.

Chapter Surface Area of Pyramids and Cones.

Objectives Learn and apply the formula for the surface area of a pyramid. Learn and apply the formula for the surface area of a cone.

What are these shapes? squarecircletrianglerectangle How many sides do each have? How many points do each have?

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.

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.

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

10-5 Surface Area of Pyramids Slant height (ℓ) of a pyramid is the height of the triangular faces. It goes along the side of the pyramid. Also called the.

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.

Warm Up Use what you know about 30, 60, 90 triangles to find the missing sides!

Holt Geometry 10-5 Surface Area of Pyramids and Cones 10-5 Surface Area of Pyramids and Cones Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

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.

10-4 Surface Area of Pyramids and Cones

Surface Area and Volume for Pyramids and Cones (11.3/11.5)

The point opposite the base of the pyramid

Warm-Up: p.22 Find the lateral area and surface area of each prism. 1.

Sunshine State Standards

Surface Area of Pyramids

12.2 Surface Areas of Pyramids

12.3 – Surface Area of Pyramids and Cones

May look at figures in box to give you some ideas. Geometric Solid:

Section 12-2 Pyramids.

9-1B Surface Area of Pyramids

9-1 Introduction to Three-Dimensional Figures Warm Up

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

INTRODUCTION TO GEOMETRIC SOLIDS.

10-5 Surface Area of Pyramids & Cones

11.3 Surface Areas of Pyramids and Cones

12-2: Area and Volume of Pyramids

10-1 Introduction to Three-Dimensional Figures Warm Up

11-3 Surface Area of Pyramids and Cones

9-1 Introduction to Three-Dimensional Figures Warm Up

Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.

Surface Area and Volume of Pyramids

Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.

Regular Square Pyramid h l Vertex Lateral Edge Height Slant Height

Surface Area of Pyramids

Section 8.2 Pyramids, Area, & Volume

Warm Up( Add to HW) 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 c = 25 b.

Presentation transcript:

9.2 Surface Area of Pyramids 11/30/16

Pyramid Base is a polygon and sides are triangles meeting at a point Regular pyramid: a pyramid whose base is a regular polygon (all sides and angles are congruent)

Pyramid Parts b: Base- the side length of the base h: Height- the distance from the center of the pyramid to its apex (top vertex) s: Slant Height- the distance from the apex to the center of the side of the base

Surface Area of Pyramids Add up the area of the base and the lateral faces

Example 1 Find the surface area of this square pyramid.

Example 2 Find the surface area of this regular triangular pyramid.

Example 3 Find the surface area of the composite solid. Assume that the bottom of the base is a square.