Area & Volume

Chip Rollinson, Mar 6, 2016

Table of Contents

  1. Areas
    1. Rectangle Area
    2. Parallelogram Area
    3. Triangle Area
    4. Trapezoid Area
    5. Circle Area from polygons with trig
    6. Circle Area - Inscribed/Circumscribed Polygons
    7. Circle Area (By Peeling!)
    8. Circle Area Videos
    9. The goat clipper (hyperclassic problem)
    10. Triangle Area = radius of inscribed circle times perimeter
    11. Triangle Area - Heron's Formula
    12. Rotating Square around Square
    13. Cat Food Sharing
  2. Volumes
    1. Regular Polygonal Prisms
    2. Regular Pyramid Model
    3. Volume of Pyramids
    4. Cube Trisection
    5. pyramid
    6. Pyramid/Cone Volume Videos
    7. Archimedes and the Volume of a Sphere
    8. Volume of Spheres with Proof #2
    9. Sphere Volume Photos/Videos
    10. Sphere Peeling: Volume
    11. Surface Area of Spheres with Proof
    12. Sphere Surface Area Videos
    13. Volumes and Surface Areas of Similar Cuboids
    14. Ratio of Surface Area to Volume and its connection to Biology
    15. Volumes of Rotation
    16. Cavalieri's Principle
    17. Martini Glass Volumes

1.

Areas

  • 1. Rectangle Area
  • 2. Parallelogram Area
  • 3. Triangle Area
  • 4. Trapezoid Area
  • 5. Circle Area from polygons with trig
  • 6. Circle Area - Inscribed/Circumscribed Polygons
  • 7. Circle Area (By Peeling!)
  • 8. Circle Area Videos
  • 9. The goat clipper (hyperclassic problem)
  • 10. Triangle Area = radius of inscribed circle times perimeter
  • 11. Triangle Area - Heron's Formula
  • 12. Rotating Square around Square
  • 13. Cat Food Sharing

1.1.

Rectangle Area

– Chip Rollinson

1.2.

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1.11.

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1.12.

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2.

Volumes

  • 1. Regular Polygonal Prisms
  • 2. Regular Pyramid Model
  • 3. Volume of Pyramids
  • 4. Cube Trisection
  • 5. pyramid
  • 6. Pyramid/Cone Volume Videos
  • 7. Archimedes and the Volume of a Sphere
  • 8. Volume of Spheres with Proof #2
  • 9. Sphere Volume Photos/Videos
  • 10. Sphere Peeling: Volume
  • 11. Surface Area of Spheres with Proof
  • 12. Sphere Surface Area Videos
  • 13. Volumes and Surface Areas of Similar Cuboids
  • 14. Ratio of Surface Area to Volume and its connection to Biology
  • 15. Volumes of Rotation
  • 16. Cavalieri's Principle
  • 17. Martini Glass Volumes

2.1.

Regular Polygonal Prisms

Regular Polygonal Prisms
– Catherine Eagen

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2.7.

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2.11.

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2.13.

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2.17.

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