1 / 32

Construction Geometry

Construction Geometry. Geometric Solid Basics Prisms Pyramids Cylinders Cones Spheres. Geometric Solids. Geometric solids are three-dimensional geometric figures. Our lessons will focus on right solids and will include: Prisms Pyramids Cones Cylinders Spheres.

sheila-morrison
Télécharger la présentation

Construction 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. Construction Geometry Geometric Solid Basics Prisms Pyramids Cylinders Cones Spheres

  2. Geometric Solids • Geometric solids are three-dimensional geometric figures. • Our lessons will focus on right solids and will include: • Prisms • Pyramids • Cones • Cylinders • Spheres

  3. Geometric Solids • Geometric solids can be either “right” or “oblique”. • Right solids have a vertical central axis while oblique solids (shown below) do not.

  4. Geometric Solids • Our lessons will deal only with “right” solids. • Right solids have a vertical central axis.

  5. Prisms • Prisms • Rectangular sides • 2 congruent parallel bases • Named by the shape of the base • Rectangular bases = “Rectangular Prism”

  6. Prisms • These are a few examples of prisms: • Triangular Prism • Rectangular Prism • Pentagonal Prism

  7. Application • An octagonal concrete form is an example of an octagonal prism.

  8. Application • This is a concrete form used to pour octagonal solids.

  9. Application • They can be stacked with great stability compared to most other shapes, and are used in construction.

  10. Application • Concrete solids can be used as a withholding wall for soil.

  11. Application • The solids (octagonal prisms) are used as a withholding wall.

  12. Pyramids • Pyramids are solid figures with a polygonal base and triangular sides that meet in a single point, called a vertex.

  13. Pyramids • Pyramids are usually identified as ones pictured in Egyptian times, with a square base and 4 triangular sides. • But pyramids can have any polygon base, such as triangles, rectangles, and pentagons.

  14. Pyramids • These are a few examples of pyramids: • Triangular Pyramid • Rectangular Pyramid • Pentagonal Pyramid

  15. Prisms and Pyramids • Prisms are named by their 2 congruent parallel bases. • Pyramids are named by their single base.

  16. Polyhedron • “Poli” = many “hedron” = face • A polyhedron is a 3-D figure with polygonal faces. • Prisms and pyramids are polyhedrons.

  17. Top Right Side Front Faces • The faces of a polyhedron are polygons and include the bases. • A rectangular prism has 6 faces: Top, Bottom, Front, Back, Right, Left Sides. Top Bottom Front Back Right Left

  18. Faces • A hexagonal pyramid has 7 faces: a hexagonal base and 6 triangular sides.

  19. Edges • Edges are segments where the sides meet. • A rectangular prism has 12 edges. • A hexagonal pyramid has 12 edges.

  20. Vertices • Vertices are where the edges meet at a point. • A rectangular prism has 8 vertices. • A hexagonal pyramid has 7 vertices.

  21. Practice #1 • Determine the name and number of edges for the given figure. • Trapezoidal Prism, 12 edges

  22. Practice #2 • Determine the number of faces and vertices for the Triangular Prism. • 5 faces, 6 vertices

  23. Cylinder • A cylinder is a solid figure with 2 congruent, parallel, circular bases. Campbells

  24. Cones • Cones are solids that have a circular base and a vertex.

  25. Sphere • A sphere is a solid comprised of the set of all points in space equidistant from a given point.

  26. Sphere • Spheres do not have faces, edges, or vertices.

  27. Practice #3 • Name each figure.

  28. Practice #3

  29. Practice #4 • Determine the number of vertices, faces, and edges for the octagonal prism.

  30. Practice #4 • Vertices = 8 + 8 = 16 • Faces = 8 + 2 = 10 • Edges = 8 + 8 + 8 = 24

  31. Practice #5 • List the faces, edges, and vertices of the rectangular prism. • Faces = ABC, EFG, ABF, DCG, BFG, AEH • Edges = AB, BC, CD, AD AE, BF, CG, DH EF, FG, GH, HE • Vertices = A, B, C, D, E, F, G, H B C D A F G E H

  32. Practice & Assessment Materials • You are now ready for the practice problems for this lesson. • After completion and review, take the assessment for this lesson.

More Related