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Exploring Three-Dimensional Figures in Geometry

Learn to classify, analyze three-dimensional shapes, and define key vocabulary in Chapter 11. Includes examples of nets, cross-sections, and prism shapes.

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Exploring Three-Dimensional Figures in Geometry

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  1. Chapter 11 Examples + Include charts with names of geometric solids, “three dimensional figures”. Remember that you name each prism or pyramid using the shape(s) of the base(s).

  2. Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures.

  3. Define the essential vocabulary from L 11.1 face edge vertex prism cylinder pyramid cone cube net cross section

  4. edges: Example 1A: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. cube vertices: A, B, C, D, E, F, G, H bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF

  5. edges: Example 1B: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. pentagonal pyramid vertices: A, B, C, D, E, F base: ABCDE

  6. Check It Out! Example 1a Classify the figure. Name the vertices, edges, and bases. You have four parts to this answer. Classify the figure: Vertices: Edges: Bases: M

  7. Check It Out! Example 1b Classify the figure. Name the vertices, edges, and bases.

  8. Example 2A: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has six congruent square faces. So the net forms a cube.

  9. Example 2B: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has one circular face and one semicircular face. These are the base and sloping face of a cone. So the net forms a cone.

  10. Check It Out! Example 2a Describe the three-dimensional figure that can be made from the given net. You must describe the figure. Use the example in the book or Ex 2. Look at your notes.

  11. Check It Out! Example 2b Describe the three-dimensional figure that can be made from the given net.

  12. Example 3A: Describing Cross Sections of Three-Dimensional Figures Describe the cross section. The cross section is a point.

  13. Example 3B: Describing Cross Sections of Three-Dimensional Figures Describe the cross section. The cross section is a pentagon.

  14. Check It Out! Example 3a Describe the cross section. The cross section is _________.

  15. Check It Out! Example 3b Describe the cross section. The cross section is a _________.

  16. Example 4A: Food Application A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape? an equilateral triangle Cut parallel to the bases.

  17. Example 4B: Food Application A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape? a rectangle Cut perpendicular to the bases.

  18. Check It Out! Example 4 How can a chef cut a cube-shaped watermelon to make slices with triangular faces?

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