Stereometry

Stereometry

Stereometry is a branch of mathematics for three-dimensional solids and the relationships between them. When a plane intersects a cube, there are a variety of shapes of the resulting cross section. In this lesson, students will learn how to construct a cube cut in a free parallel projection before recreating the resulting polygon (cross section) in CAD.
Subjects
Design and TechnologyScienceMathematicsComputingMasaryk University
Years | Grades
8th Grade | 12-13 years9th Grade | 13-14 years10th Grade | 14-15 years11th Grade | 15-16 years
Duration
Lesson 1: 90 minutes Print Time: 1-2 hours

Stereometry trailer
Play 0:41

Objectives

  • Construct a cube cut in a free parallel projection.
  • Construct a section polygon in its actual size.
  • Check the result on the 3D model by selecting the correct polygon.
  • Construct the result using TinkerCAD software and print a 3D model of the cube.
 

Tools and equipment

  • BE3D eDee printer
  • Example 3D polygon models and 3D printed cube
  • Internet enabled computer and TinkerCAD®
  • Paper pad and pencil
  • Printed lesson resources 
 

Skill requirements

To participate in the lesson, students should be able to: 
  • Use TinkerCAD, Fusion 360 or similar CAD software at an intermediate level
  • Be comfortable using DeeControl software including adjusting print settings
  • Use the BE3D eDee 3D printer

Stereometry walkthrough
Play 1:53

3D models overview

  • Total print time 13 hours 30 minutes
  • Total filament 51 m
  • Additional non-printable components
  • Printed all at once
Cube bottom
  • 5 hours 30 minutes
  • 12.4 m
Cube top
  • 2 hours 45 minutes
  • 8.7 m
Triangle
  • 1 hour
  • 6 m
Hexagon
  • 1 hour
  • 6 m
Square
  • 1 hour
  • 6 m
Rectangle
  • 1 hour
  • 6 m
Trapezoid
  • 1 hour
  • 6 m
Note: Values are calculated for one set of models.

Lesson resources

  • Lesson plan
  • Example 3D polygon models and 3D printed cube
  • Worksheet
  • Walkthrough
  • Presentation
  • 3D models
  • 3D print instructions
  • Curriculum alignment