Surface Area and Volume

Jason Wofsey, Tom Roselli, May 9, 2018

Table of Contents

  1. Intro to Solid Figures
    1. Platonic Solids 3D
    2. Euler's formula for polyhedra
    3. Sections of Triangular Prisms
    4. Cross Sections of a Rectangular Prism
    5. Nets of solids
  2. Surface Area
    1. Rectangular Prism Surface Area
    2. Prism Regular Base with Net
    3. Net of a Cylinder
    4. Regular Pyramid
    5. Rectangular Pyramid Net
    6. Curved Surface Area of Cones
    7. Curved Surface Area of Cones
    8. Surface Area of Spheres
  3. Volume
    1. create prism with unity cubes
    2. volume of a rectangular prism
    3. Volume of cylinder
    4. Volume of Pyramids
    5. Pyramids in Prism
    6. Pyramid from Prisms
    7. Volume of cone vs cylinder
    8. Volume of a Cone as the limit of sum of volumes of Cylinders
    9. Volume of Sphere Derivation
    10. Volume of Spheres
    11. Sphere Surface Area
    12. Volumes and Surface Areas of Similar Cuboids

1.

Intro to Solid Figures

  • 1. Platonic Solids 3D
  • 2. Euler's formula for polyhedra
  • 3. Sections of Triangular Prisms
  • 4. Cross Sections of a Rectangular Prism
  • 5. Nets of solids

1.1.

Platonic Solids 3D

– Jason Wofsey

1.2.

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1.3.

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1.4.

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1.5.

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2.

Surface Area

  • 1. Rectangular Prism Surface Area
  • 2. Prism Regular Base with Net
  • 3. Net of a Cylinder
  • 4. Regular Pyramid
  • 5. Rectangular Pyramid Net
  • 6. Curved Surface Area of Cones
  • 7. Curved Surface Area of Cones
  • 8. Surface Area of Spheres

2.1.

Rectangular Prism Surface Area

– Jason Wofsey

2.2.

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2.3.

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2.4.

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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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3.

Volume

  • 1. create prism with unity cubes
  • 2. volume of a rectangular prism
  • 3. Volume of cylinder
  • 4. Volume of Pyramids
  • 5. Pyramids in Prism
  • 6. Pyramid from Prisms
  • 7. Volume of cone vs cylinder
  • 8. Volume of a Cone as the limit of sum of volumes of Cylinders
  • 9. Volume of Sphere Derivation
  • 10. Volume of Spheres
  • 11. Sphere Surface Area
  • 12. Volumes and Surface Areas of Similar Cuboids

3.1.

create prism with unity cubes

create prism with unity cubes
– Halil Güldiken

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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