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Problem of the Day

Problem of the Day. Problem of the Day. 8-8: Three-Dimensional Figures. Various 3-D figures. Three Dimensional figures. Definition: Figures that do not lie in a plane Also called ‘space figures’ or solids Faces Flat surfaces in 3-D figures They are shaped like polygons Edge

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Problem of the Day

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  1. Problem of the Day

  2. Problem of the Day

  3. 8-8: Three-Dimensional Figures

  4. Various 3-D figures

  5. Three Dimensional figures • Definition: • Figures that do not lie in a plane • Also called ‘space figures’ or solids • Faces • Flat surfaces in 3-D figures • They are shaped like polygons • Edge • A segment formed by the intersection of two faces (note: in 2-D we call it a ‘side’)

  6. Three-Dimensional figures

  7. The Great Pyramids of Egypt Source: beersandbeans.com

  8. Pyramids

  9. Pyramids • Definition • Space figures with only one base. • The base is a polygon and other faces are triangles that meet at a vertex. • A pyramid is named for the shape of its base.

  10. Pyramids

  11. Prisms

  12. Prisms • Definition • A space figure with two parallel and congruent polygonal faces, called bases. The other figures are rectangles (parallelograms). • It is named for the shape of its bases.

  13. Prisms

  14. Polyhedron • A three dimensional figure with a polygon for each of its faces is called a polyhedron A polyhedron is a regular polyhedron if all of its faces are regular congruent polygons and all of its edges are congruent.

  15. Skew lines Lines in space that do not intersect and are not parallel are called skew lines

  16. Other space figures or solids • There are solids that are not polyhedrons. • Some or all of the faces in these types of polyhedrons are not polygons.

  17. Cylinders • There are two bases which are parallel and congruent circles Bases Lateral surface

  18. Cones • A cone has only one circular base and a vertex. Lateral surface Base

  19. How to distinguish between Prism and Pyramid? Prism Pyramid If it can stand on both of its bases, it is a prism If all the faces come to a point, it is a pyramid

  20. Prisms vs. Pyramids

  21. Prisms vs. Pyramids Are all bases considered faces? Are all faces considered bases?

  22. How are prisms and cylinders alike? • Each is a space figure with two congruent bases that are parallel and connected by a lateral surface

  23. How are cylinders and cones alike? • Each is a space figure with a base that is a circle

  24. How are cylinders and cones different? • A cylinder has two bases and a cone has only one base.

  25. Sphere • A space figure in the shape of a ball. • A set of points that are a given distance from a given point.

  26. Drawing Three-Dimensional Figures • Square pyramid • Hexagonal prism • Your choice – name it and draw it • Your choice – name it and draw it • Your choice – name it and draw it

  27. Graph Paper

  28. Homework • Lesson 8-8, pp. 412 – 413, #s 1–11, 15-25

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