Nets of Solids

Arthur Lee, 24 May 2024

Nets of Solids

Table of Contents

  1. Investigating Number of Nets of a Cube using GeoGebra
    1. 探究正方體的摺紙圖樣 1
    2. 探究正方體的摺紙圖樣 2
    3. 探究正方體的摺紙圖樣 3
    4. Nets with 4 Squares in a Row
    5. Nets with At Most 3 Squares in a Row
    6. Nets with At Most 2 Squares in a Row
  2. Investigating Number of Nets of a Cuboid using GeoGebra
    1. The 1st Set of Nets
    2. The 2nd Set of Nets
    3. The 3rd Set of Nets
    4. The 4th Set of Nets
    5. The 5th Set of Nets
    6. The 6th Set of Nets
    7. The 7th Set of Nets
    8. The 8th Set of Nets
    9. The 9th Set of Nets
    10. The 10th Set of Nets
    11. The 11th Set of Nets
    12. References
  3. Investigating Number of Nets of 3D Solids using Polypad
    1. Exploring Number of Nets of a Cube using Polypad
    2. Exploring Number of Nets of a Triangular Prism using Polypad
    3. Exploring Number of Nets of a Cuboid using Polypad
  4. Other Activities
    1. Unfolding Shapes in 3D
    2. Nets of the Cube
    3. 11 Nets of the Cube
    4. Octahedron and Boat
    5. pyramid net puzzle
    6. prism net puzzle
    7. cuboid net puzzle

1.

Investigating Number of Nets of a Cube using GeoGebra

  • 1. 探究正方體的摺紙圖樣 1
  • 2. 探究正方體的摺紙圖樣 2
  • 3. 探究正方體的摺紙圖樣 3
  • 4. Nets with 4 Squares in a Row
  • 5. Nets with At Most 3 Squares in a Row
  • 6. Nets with At Most 2 Squares in a Row

1.1.

探究正方體的摺紙圖樣 1

– Anthony Or 柯志明, Anthony OR 柯志明

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Investigating Number of Nets of a Cuboid using GeoGebra

A cube has 11 nets. To investigate the number of nets of a cuboid, we can extend the square faces of each net of the cube to rectangles to form nets of a cuboid of a certain dimension (e.g. 4×3×2). Let's explore the different nets of a cuboid using the following GeoGebra applets.

  • 1. The 1st Set of Nets
  • 2. The 2nd Set of Nets
  • 3. The 3rd Set of Nets
  • 4. The 4th Set of Nets
  • 5. The 5th Set of Nets
  • 6. The 6th Set of Nets
  • 7. The 7th Set of Nets
  • 8. The 8th Set of Nets
  • 9. The 9th Set of Nets
  • 10. The 10th Set of Nets
  • 11. The 11th Set of Nets
  • 12. References

2.1.

The 1st Set of Nets

– Anthony OR 柯志明

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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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2.12.

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3.

Investigating Number of Nets of 3D Solids using Polypad

  • 1. Exploring Number of Nets of a Cube using Polypad
  • 2. Exploring Number of Nets of a Triangular Prism using Polypad
  • 3. Exploring Number of Nets of a Cuboid using Polypad

3.1.

Exploring Number of Nets of a Cube using Polypad

Desmos Classroom: [url=https://teacher.desmos.com/activitybuilder/custom/665162ebb2f4e759e5bed651]https://teacher.desmos.com/activitybuilder/custom/665162ebb2f4e759e5bed651[/url]
– Anthony OR 柯志明

3.2.

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3.3.

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4.

Other Activities

  • 1. Unfolding Shapes in 3D
  • 2. Nets of the Cube
  • 3. 11 Nets of the Cube
  • 4. Octahedron and Boat
  • 5. pyramid net puzzle
  • 6. prism net puzzle
  • 7. cuboid net puzzle

4.1.

Unfolding Shapes in 3D

Explore the geometry of prisms, pyramids, cylinders, and cones by unfolding them in this activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
What shapes do you need to form the net of a cylinder? A cone?
How many shapes do you need to form the net of a rectangular prism? A square pyramid?
How do the numbers of shapes needed to form the net change as the base of the prism changes? As the base of a pyramid changes?
– GeoGebra Content Team

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4.5.

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4.7.

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