3-D Solids and formulas Unit 7-5. 3-D solid figures Cylinder Triangular prism Rectangular prism Cone Pyramid Sphere Fill in 3-D chart.

Slides:

Advertisements

Similar presentations

Advertisements

Chapter 10 Review Game. Lessons 10-6 Solid Figures 1, 2, 3, 4, 5, Surface Area 1, 2, 3, 4, 5, Finding Volume 1, 2, 3, 4, 5,

Solid Geometry.

Notes on Intro to 3D Figures

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.

Geometry Formulas in Three Dimensions

Holt Geometry 10-3 Formulas in Three Dimensions 10-3 Formulas in Three Dimensions Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Volume of Rectangular Prisms

10-1 Introduction to 3D figs

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

1-7 Three Dimensional Figures

Three-Dimensional Figures and Spatial Reasoning

3-Dimensional Figures. Polygons (Two dimensional) A polygon is a geometric figure that is made up of three or more line segments that intersect only at.

Formulas in Three Dimensions

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.

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.

Warm Up Find the unknown lengths.

Lesson 10-6 Solid Figures.

Solid Shapes Three Dimensional Figures. Cube A cube has six faces. A cube has eight vertices. A cube has twelve edges. A cube is a solid shape. A cube.

Cornell Notes Today Volume

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

Holt CA Course Three-Dimensional Figures Preparation for MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area.

Bell Ringer Get out your area homework assignment and formula sheet Get out your notebook and prepare to take notes on Section 10.5/10.7 Find the area.

Identifying 3-D Figures Lesson 12 – 7. Vocabulary Three Dimensional (3 – D) Figure: Shapes that have a length, width, and depth/height Face – a flat surface.

12.1 Solid Figures. Today we will… Name Solid Shapes.

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

Find the volume of this cylinder 4 cm 3 cm Find the VOLUME of this prism 6 m 10 m.

Fill in the area formulas for the following: Circle ____________________ Rectangle ________________ Triangle __________________.

Learn to identify various three-dimensional figures.

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

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

Three- Dimensional Figures #37. A polyhedron is a three-dimensional object with flat surfaces, called faces, that are polygons. When two faces of a three-dimensional.

Warm Up Find the unknown lengths.

An introduction to 3D Figures

Formulas in Three Dimensions

Nets Nets A net is a pattern that you cut out and fold to form a 3 - dimensional figure.

Solid Figures Vocabulary.

Three Dimensional Figures

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

Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.

Classifying Solids What is this Solid? Rectangular Prism.

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

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.

Holt McDougal Geometry 10-3 Formulas in Three Dimensions 10-3 Formulas in Three Dimensions Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Entry Task 1. How many vertices, edges, and faces are in the polyhedron below? List them using the proper notation. 2. Use your answers to part 1 to verify.

Rectangular prism or square prism (cube). sphere.

1 Solids Three-Dimensional Geometry. 2 Prisms A prism is a three-dimensional solid with two congruent and parallel polygons called the bases. The lateral.

Warm Up Find the unknown lengths.

Formulas in Three Dimensions

Goal: Identify and name solid figures.

3-Dimensional Figures.

Preview Warm Up California Standards Lesson Presentation.

Digital Cross Sections Lab Create each figure sitting on its Base

Three-Dimensional Figures and Spatial Reasoning

Lesson 10.3 Three-Dimensional Figures

Solid Geometry.

Objectives Apply Euler’s formula to find the number of vertices, edges, and faces of a polyhedron. Develop and apply the distance and midpoint formulas.

Solid Figures Geometry.

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

Solid Figures Geometry.

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

11.5 Explore Solids Mrs. vazquez Geometry.

Solid Geometry.

Objective - To identify solid figures.

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

Solid Geometry.

Lesson 4 Volume of Prisms

Presentation transcript:

3-D Solids and formulas Unit 7-5

3-D solid figures Cylinder Triangular prism Rectangular prism Cone Pyramid Sphere Fill in 3-D chart

Vocabulary Polyhedron Formed by 4 or more polygons that intersect only at their edges. Is this a polyhedron?

Euler’s Formula For any polyhedron with V(ertices), E(dges), and F(aces) V – E + F = = 2 2

Euler’s Formula For any polyhedron with V(ertices), E(dges), and F(aces) V – E + F = = 2 1 NOT a Polyhedron

Diagonals inside prisms

Diagonal of a right rectangular prism The length of a diagonal (d) of a right rectangular prism with length (l) and width (w), and height (h) Find the length of the diagonal of a 3 in. by 4 in. by 5 in rectangular prism.

Graphing in 3-D There are 3 axis when graphing in 3-D X-axis (horizontal), Y-axis(vertical), Z-axis (3-D) Points are (x, y, z) X axis Y axis Z axis

Graphing in 3-D More traditional 3-D graphing Points are (x, y, z) Y axis Z axis X axis Solid lines are positive and broken lines are negative

Graphing in 3-D

Video on Graphing 3-D A;_ylc=X1MDMjc2NjY3OQRfcgMyBGZyA3lmcC10LTI1MARncHJpZ AN0MmdZWkxIWlQ4eU5adEl2NVJ4M3hBBG5fcnNsdAMwBG5fc3V nZwMzBG9yaWdpbgNzZWFyY2gueWFob28uY29tBHBvcwMwBHBxc 3RyAwRwcXN0cmwDBHFzdHJsAzE5BHF1ZXJ5A2hvdyB0byBncmFw aCBpbiAzLUQEdF9zdG1wAzE0Mjk3OTQzNTQ- ?p=how+to+graph+in+3-D&fr2=sb-top-search&fr=yfp-t-250&fp=1

Distance and Midpoint in 3-D d = midpt =

Example # 1 Find the distance and midpoint (in 3-D) given points: A (9, 0, 5) and B ( 6, 0, 12) Example # 2 Find the height of a rectangular prism with an 8 ft by 12 ft base and an 18 ft diagonal.