Cross Sections of 3D Solids

Anthony OR 柯志明, MrsBond, May 9, 2020

A digital exploration of the shapes created by slicing 3D solids

Table of Contents

  1. REQUIRED: Sections of Prisms and Cylinders
    1. Cross Sections of Rectangular Prisms
    2. Slicing a triangular prism
    3. Cross Sections of Cylinders
    4. Cross Sections of a Cube
  2. OPTIONAL: Sections of Pyramids and Cones
    1. Cross Sections of Rectangular Pyramids
    2. Cross Sections of Triangular Pyramids
    3. Cross Sections of Cones
    4. Cross Sections of a Regular Tetrahedron
  3. OPTIONAL: Sections of Spheres
    1. Copy of Sections of Spheres

1.

REQUIRED: Sections of Prisms and Cylinders

Please complete all four activities in Section 1: Cross Sections of Prisms & Cylinders to received credit for your Geogebra choice board activity.

  • 1. Cross Sections of Rectangular Prisms
  • 2. Slicing a triangular prism
  • 3. Cross Sections of Cylinders
  • 4. Cross Sections of a Cube

1.1.

Cross Sections of Rectangular Prisms

Drag the blue points to see the different sections of the rectangular prism (cuboid).
Anthony Or. GeoGebra Institute of Hong Kong
Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.
1. What is the shape of the cross section formed by slicing the Rectangular Prism horizontally?
Move the Rotate 1 slider to the right, labeled Vertical and answer Question 2 below.
2. What is the shape of the cross section formed by slicing the Rectangular Prism vertically?
Move the Rotate 1 slider to the middle, halfway between Vertical and Horizontal and answer Question 3 below.
3. What is the shape of the cross section formed by slicing the Rectangular Prism diagonally?
– MrsBond, Anthony OR 柯志明

1.2.

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1.3.

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1.4.

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2.

OPTIONAL: Sections of Pyramids and Cones

If you enjoyed the Chapter 1 activities here's a few more to try!

  • 1. Cross Sections of Rectangular Pyramids
  • 2. Cross Sections of Triangular Pyramids
  • 3. Cross Sections of Cones
  • 4. Cross Sections of a Regular Tetrahedron

2.1.

Cross Sections of Rectangular Pyramids

Drag the blue points to see the different sections of the rectangular pyramid.
Anthony Or. GeoGebra Institute of Hong Kong
Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.
1. What is the shape of the cross section formed by slicing the rectangular pyramid horizontally?
Move BOTH rotate sliders to the right. Rotate 1 slider should be moved so it's labeled Vertical. Answer Question 2 below.
2. What is the shape of the cross section formed by slicing the rectangular pyramid vertically?
Move Rotate 1 slider to the MIDDLE and keep Rotate 2 slider to the RIGHT. Answer Question 3 below.
3. What is the shape of the cross section formed by slicing the rectangular pyramid diagonally?
– MrsBond, Anthony OR 柯志明

2.2.

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2.3.

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2.4.

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3.

OPTIONAL: Sections of Spheres

You crushed it through the first 2 Chapters, here's the last exploration.

  • 1. Copy of Sections of Spheres

3.1.

Copy of Sections of Spheres

Drag the blue points to see the different sections of the sphere.
Anthony Or. GeoGebra Institute of Hong Kong
Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.
1. What is the shape of the cross section formed by slicing the sphere horizontally?[br][br]
Move the Rotate 1 slider to the right, labeled Vertical and answer Question 2 below.
2. What is the shape of the cross section formed by slicing the sphere vertically?[br]
Move the Rotate 1 slider to the middle, halfway between Vertical and Horizontal and answer Question 3 below.
3. What is the shape of the cross section formed by slicing the sphere diagonally?[br]
– MrsBond, Anthony OR 柯志明

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