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Solids: Three –Dimensional figures

Solids: Three –Dimensional figures. EQ: How do you identify various three-dimensional figures? . What are three-dimensional figures?. A three-dimensional figure encloses a part of space. In other words it can hold something (water, air, etc.). What is a Polyhedron?.

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Solids: Three –Dimensional figures

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

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

  3. What is a Polyhedron? A 3-dimensional figure that has polygons as faces Polygons must have straight lines! Polyhedrons Not Polyhedrons

  4. 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

  5. 5 faces 8 edges 5 vertices 7 faces 15 edges 10 vertices Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. Faces + Vertices -2 = Edges

  6. 6 faces 12 edges 8 vertices 5 faces 9 edges 6 vertices Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B.

  7. Prism: Has at least three faces that are rectangles Has two congruent faces on the top and bottom called bases The shape of the base tells what type of prism the figure is Pyramid: Has at least three faces that are triangles Has only one base The shape of the base tells what type of pyramid the figure is Two main types of 3-D Figures

  8. Prisms Rectangular Prism Pentagonal Prism

  9. Pyramids Square Pyramid Triangular Pyramid

  10. Other 3-D Figures • Cone- is a figure like a pyramid, but has a circular base and a curved surface

  11. Other 3-D Figures • Cylinder- a curved figure with two circular bases

  12. Other 3-D Figures • Sphere- a 3-D figure with no faces, bases, edges, or vertices

  13. Cylinder

  14. Triangular Prism

  15. Cube

  16. Square Pyramid

  17. Okay…this last one is hard…Ready??

  18. Pentagonal Pyramid

  19. What is a net? A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. 2.

  20. ANSWERS A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. Triangular Pyramid 2. Cube

  21. NetsIdentify what shape will be made from the following nets. A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. 1. 2. 3. 4.

  22. ANSWERS A net is a two-dimensional (flat) representation of a three-dimensional object. A net would be what your cereal box becomes when you slice down a few sides. Identify what shape will be made from the following nets. • 2. 3. 3. 4. cylinder square pyramid cone triangular prism

  23. Identify what shape will be made from the following nets. 1. 2. 3.

  24. Identify what shape will be made from the following nets. 1. 2. 3. rectangular prism cylinder triangular prism

  25. Cube or Not? http://illuminations.nctm.org/Activity.aspx?id=3544

  26. Summary How are 3D shapes classified? What is a net?

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