3D Geometry & Cross Sections

Duke, Edward Knote, 2016年5月12日

Credit for all the work in this document goes to the following individuals (listed below). [b]These applets, created by the following individuals or organizations, are absolutely AMAZING!!! [/b] Anthony Or Mathieu Blossier Arthur Lee Andreas Lindner W. Koschkin Michael Borchards Duke

内容目录

  1. Cross Sections & Solids for FSA(7)
    1. Sections of Rectangular Prisms (Cuboids)
    2. Sections of Triangular Prisms
    3. Sections of Rectangular Pyramids
    4. Pyramid section
    5. Sections of Triangular Pyramids
    6. Sections of Cylinders
    7. Sections of Cones
    8. section of cone
    9. Sections of Spheres
    10. section of sphere
    11. Exploring Sections of Cubes
    12. cutting a sphere
  2. Nets
    1. Nets of the Cube
    2. 11 Nets of the Cube
    3. Net of Hexagonal Prism
    4. Net of a Cylinder
    5. Nets of Tetrahedron
    6. Net of a Cone
    7. Curved Surface Area of Cones (Combined Version)
    8. Octahedron and Boat
    9. Net of Dodecahedron
    10. Another Net of Dodecahedron
    11. Net of Icosahedron
  3. Volume
    1. tisect a cube
    2. opening a cube
    3. Volume of Spheres
    4. Surface Area & Volume of Rectangular Prisms
  4. Other Favorite 3D Figures & Tasks
    1. 3D Problem Solving - Sphere resting inside of a Cone
    2. Dandelin's theorem
    3. Graphing Complex Solutions
    4. 3X3 System Possibilities
    5. Systems of Linear Equations 3X3's - Linear Combinations
    6. Is Penrose triangle possible?
    7. 7 Mutually Touching Cylinders
    8. Flight Simulator
    9. Projection of a Sphere - Central Projection

1.

Cross Sections & Solids for FSA(7)

Use these worksheets to gain experience with the cross sections and solids appearing on the 7th grade FSA

  • 1. Sections of Rectangular Prisms (Cuboids)
  • 2. Sections of Triangular Prisms
  • 3. Sections of Rectangular Pyramids
  • 4. Pyramid section
  • 5. Sections of Triangular Pyramids
  • 6. Sections of Cylinders
  • 7. Sections of Cones
  • 8. section of cone
  • 9. Sections of Spheres
  • 10. section of sphere
  • 11. Exploring Sections of Cubes
  • 12. cutting a sphere

1.1.

Sections of Rectangular Prisms (Cuboids)

Drag the blue points to see the different sections of the rectangular prism (cuboid).
Anthony Or. GeoGebra Institute of Hong Kong
– Anthony OR 柯志明

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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2.

Nets

  • 1. Nets of the Cube
  • 2. 11 Nets of the Cube
  • 3. Net of Hexagonal Prism
  • 4. Net of a Cylinder
  • 5. Nets of Tetrahedron
  • 6. Net of a Cone
  • 7. Curved Surface Area of Cones (Combined Version)
  • 8. Octahedron and Boat
  • 9. Net of Dodecahedron
  • 10. Another Net of Dodecahedron
  • 11. Net of Icosahedron

2.1.

Nets of the Cube

Anthony Or[br]GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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3.

Volume

  • 1. tisect a cube
  • 2. opening a cube
  • 3. Volume of Spheres
  • 4. Surface Area & Volume of Rectangular Prisms

3.1.

tisect a cube

This is another way of cutting a cube into congruent pyramids. This shows each pyramid is 1/3 of a cube.
– Arthur Lee

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3.4.

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4.

Other Favorite 3D Figures & Tasks

  • 1. 3D Problem Solving - Sphere resting inside of a Cone
  • 2. Dandelin's theorem
  • 3. Graphing Complex Solutions
  • 4. 3X3 System Possibilities
  • 5. Systems of Linear Equations 3X3's - Linear Combinations
  • 6. Is Penrose triangle possible?
  • 7. 7 Mutually Touching Cylinders
  • 8. Flight Simulator
  • 9. Projection of a Sphere - Central Projection

4.1.

3D Problem Solving - Sphere resting inside of a Cone

– Duke

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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