1 / 31

7th Grade 3-D Geometry

7th Grade 3-D Geometry. Table of Contents. Click on the topic to go to that section. 3-Dimensional Solids. Cross Sections of 3-Dimensional Figures. Volume. · Prisms and Cylinders. ·Pyramids, Cones & Spheres. Surface Area. ·Prisms. ·Pyramids. ·Cylinders. ·Spheres.

dieter
Download Presentation

7th Grade 3-D Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7th Grade 3-D Geometry

  2. Table of Contents Click on the topic to go to that section 3-Dimensional Solids Cross Sections of 3-Dimensional Figures Volume ·Prisms and Cylinders ·Pyramids, Cones & Spheres Surface Area ·Prisms ·Pyramids ·Cylinders ·Spheres More Practice/ Review Common Core: 7.G.3, 7.G.6, 7.EE.3

  3. 3-Dimensional Solids Return to table of contents

  4. The following link will take you to a site with interactive 3-D figures and nets.

  5. What are three-dimensional figures? • A three-dimensional figure encloses a part of space. • In other words it can hold something (water, air, etc.)

  6. Vertex Edge Faces Features of a 3-D figure • Face- the flat surface of a figure • Edge- formed by two faces of a 3-D figure sharing a side • Vertex (plural:vertices)- the point at which three or more edges meet

  7. Polyhedron A 3-D figure whose faces are all polygons Sort the figures into the appropriate side. Polyhedron Not Polyhedron

  8. 3-Dimensional Solids Categories & Characteristics of 3-D Solids: • Prisms • Have 2 congruent, polygon bases which are parallel • to one another • 2. Sides are rectangular (parallelograms) • 3. Named by the shape of their base click to reveal Pyramids 1. Have 1 polygon base with a vertex opposite it 2. Sides are triangular 3. Named by the shape of their base click to reveal

  9. 3-Dimensional Solids Categories & Characteristics of 3-D Solids: • Cylinders • Have 2 congruent, circular bases which are parallel • to one another • 2. Sides are curved click to reveal Cones 1. Have 1 circular bases with a vertex opposite it 2. Sides are curved click to reveal

  10. 3-Dimensional Solids Vocabulary Words for 3-D Solids: Polyhedron A 3-D figure whose faces are all polygons (Prisms & Pyramids) Face Flat surface of a Polyhedron Edge Line segment formed where 2 faces meet Vertex (Vertices) Point where 3 or more faces/edges meet

  11. 1 Name the figure. A Rectangular Prism Triangular Pyramid B C Hexagonal Prism D Rectangular Pyramid E Cylinder F Cone

  12. 2 Name the figure A Rectangular Pyramid B Triangular Prism C Octagonal Prism D Circular Pyramid E Cylinder F Cone

  13. 3 Name the figure A Rectangular Pyramid B Triangular Pyramid C Triangular Prism D Hexagonal Pyramid E Cylinder F Cone

  14. 4 Name the figure A Rectangular Prism B Triangular Prism C Square Prism D Rectangular Pyramid E Cylinder F Cone

  15. 5 Name the figure A Rectangular Prism B Triangular Pyramid C Circular Prism D Circular Pyramid E Cylinder F Cone

  16. For each figure, find the number of faces, vertices and edges. Can you figure out a relationship between the number of faces, vertices and edges of 3-Dimensional Figures?

  17. Euler's Formula F + V - 2 = E The number of edges is 2 less than the sum of the faces and vertices. click to reveal

  18. 6 How many faces does a pentagonal prism have?

  19. 7 How many edges does a rectangular pyramid have?

  20. 8 How many vertices does a triangular prism have?

  21. Cross Sections of Three-Dimensional Figures Return to table of contents

  22. 3-Dimensional figures can be cut by planes. When you cut a 3-D figure by a plane, the result is a 2-D figure. The cross-sections of 3-D figures are 2 dimensional figures you are familiar with. Look at the example on the next page to help your understanding.

  23. A horizontal cross-section of a cone is a circle. Can you describe a vertical cross-section of a cone?

  24. A vertical cross-section of a cone is a triangle.

  25. A water tower is built in the shape of a cylinder. How does the horizontal cross-section compare to the vertical cross-section?

  26. The horizontal cross-section is a circle. The vertical cross-section is a rectangle

  27. 9 Which figure has the same horizontal and vertical cross-sections? A C B D

  28. 10 Which figure does not have a triangle as one of its cross-sections? A C B D

  29. 11 Which is the vertical cross-section of the figure shown? A Triangle B Circle C Square D Trapezoid

  30. 12 Which is the horizontal cross-section of the figure shown? A Triangle B Circle C Square D Trapezoid

  31. 13 Which is the vertical cross-section of the figure shown? A Triangle B Circle C Square D Trapezoid

More Related