Chapter 10 Surface Area & Volume

Slides:

Advertisements

Similar presentations

Space Figures and Cross Sections

Advertisements

Chapter 12 – Surface Area and Volume of Solids

Problem of the Day If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom? 2.

Bell Ringer Get out your notebook and prepare to take notes on Chapter 8 What is the difference between two-dimensional and three-dimensional?

11-1 Space Figures and Cross Sections

Lesson 8.1A: Three Dimensional Objects, Nets, and Cross-Sections

Three-Dimensional Figure A three-dimensional figure is a shape whose points do not all lie in the same plane.

Exploring Solids. What is a Polyhedron? Polyhedrons Non-Polyhedrons.

10-1 Introduction to Three-Dimensional Figures Warm Up

9-4 Geometry in Three Dimensions  Simple Closed Surfaces  Regular Polyhedra  Cylinders and Cones.

Geometric Solids A three dimensional figure that has three dimensions: length, width, and height. cylinder Rectangular prism cube pyramid cone.

Warm-up Review Take Home Quizzes. There will be a 3 question In Class Quiz based on them.

Prisms Fun with by D. Fisher

8-7 Introduction to Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

SOLID FIGURES SPI

Solid Figures Solids are 3 dimensional or 3D. Solids with flat surfaces that are polygons are called POLYHEDRONS. There are two types of Polyhedrons.

Surface Area of Prisms SECTION After completing this lesson, you will be able to say: I can represent three-dimensional figures using nets made.

LESSON 10.1 & 10.2 POLYHEDRONS OBJECTIVES: To define polyhedrons To recognize nets of space figures To apply Euler’s formula To describe cross section.

Do Now 5/6/13 Copy HW in your planner. Be ready to copy POTW #6

Introduction to 3-Dimensional Figures. A three dimensional figure that has three dimensions: length, width, and height. cube cylinder cone Rectangular.

Chapter 11.1 Notes Common Core – G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional.

6-1 Lesson 6-1 Example 1 Find the number of faces, vertices, and edges. Identify the figure. 1.How many faces? Example

Identify the Faces, Edges, Vertices.

Polyhedrons: Prisms Tutorial 5b. 3D Solids §A polyhedron is a 3- dimensional figure whose surfaces are polygons. faces edge vertex §The polygons are the.

7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.

11.1 Space Figures and Cross Sections A polyhedron is a space figure, or three-dimensional figure, whose surfaces are polygons. Each polygon is a face.

Learn to identify various three-dimensional figures.

Space Figures & Nets, Surface Areas of Prisms & Cylinders Unit 5, Lesson 1 chapter%20ten.ppt.

10-1 & 10-2: Space Figures, Nets & Diagrams

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

Space Figures, Nets & Diagrams Objectives:  To identify nets of space figures  To make isometric drawings of space figures.

Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Space Figures & Cross-Sections

Net Review Opening Routine The net at the right folds into the cube shown beside it. Which letters will be on the top and front of the cube if A is folded.

Warm Up How many corners does the tissue box have? How many flat surfaces? How many folded creases? Draw a net for the tissue box. Corners: 8 Flat Surfaces:

Solid Figures Vocabulary.

Polyhedra & Surface Area. Polyhedra Polyhedron – Solid with all flat surfaces that enclose a single region of space. Basically, just a 3D figure whose.

Solids: Three – Dimensional figures EQ: How do you identify various three-dimensional figures?

Please do the entry task to the best of your ability as quickly as you can! THANK YOU!

Chapter 11: Surface Area & Volume

Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the polyhedron.

Space Figures and Nets Section 6-1 Notes and vocabulary available on my home page.

polyhedron a three- dimensional figure whose surfaces are polygons faces edge vertex.

11-1 Space Figures and Cross Sections Objectives To recognize polyhedra and their parts To visualize cross sections of space figures.

LESSON 49 Introduction to Solids. VOCABULARY Solids are three-dimensional figures that have flat and/or curved surfaces Polyhedron is a closed solid formed.

7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.

Nets & Drawings for Visualizing Geometry Section 1-1.

PREPARING FOR SURFACE AREA AND VOLUME DRAWINGS, CROSS SECTIONS AND NETS.

Geometry 10-1 Space Figures and Nets. Vocabulary Polyhedron – A solid formed by polygons that enclose a single region of space Face – Flat polygon surfaces.

Opener. UNIT EQ: HOW DO YOU CALCULATE THE SURFACE AREA AND VOLUME OF A 3-DIMENSIONAL FIGURE Surface Area & Volume.

9-4 Introduction to Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.

11.1 Notes Space Figures and Cross Sections. Identifying Nets and Space Figures A polyhedron is a 3-dimensional figure whose surfaces are polygons. -

10-1 Space Figures and Nets

GEOMETRY LESSON 10-1 Space Figures and Nets

Geometry-Part 8.

Unit 11: 3-Dimensional Geometry

Space Figures and Nets Geometry 10-1.

Unit 11: 3-Dimensional Geometry

Lesson 10.3 Three-Dimensional Figures

Warm Up Classify each polygon. 1. a polygon with three congruent sides

11.1 Space Figures and Cross Sections

Solid Geometry.

Space Figures & Nets, Surface Areas of Prisms & Cylinders

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

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

14-1 Three-Dimensional Figures and Cross Sections

Objective - To identify solid figures.

I have 4 faces. I have 6 edges. I have 4 vertices.

Solid Geometry.

Presentation transcript:

Chapter 10 Surface Area & Volume

Section 10 – 1 Space Figures & Nets Objective: To recognize nets of space figures

Polyhedron: Face: Edge: Vertex: A three-dimensional figure whose surfaces are polygons Face: Each polygon surface Edge: A segment formed by the intersection of two faces Vertex: A point where three or more edges intersect

Net: Cube Rectangular Prism Triangular Prism Cylinder Cone Pyramid A two-dimensional pattern that you can fold to form a three-dimensional figure Cube Rectangular Prism Triangular Prism Cylinder Cone Pyramid

Example 1 Identifying Nets Is the pattern a net for a cube? If so, name the letters that will appear on opposite faces. A)

B) C) D)

Example 2 Drawing a Net A) Draw a net for the graham cracker box. Label the net with its dimensions

Draw a net. C) Draw a net

Euler’s Formula: The number of faces (F), vertices (V), and edges (E) of a polyhedron are related by the formula F + V = E + 2.

Example 3 Using Euler’s Formula A) Count the number of faces and edges. Then use Euler’s Formula to find the number of vertices in the polyhedron at the right.

B) Use Euler’s Formula to find the number of edges on a polyhedron with 8 triangular faces.

C) Use Euler’s Formula to find the number of edges of a polyhedron with 6 faces and 8 vertices.

HOMEWORK Textbook Page 514; #1 – 18