Register now To download lesson resources

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

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

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

Register now To download lesson resources

Back to lessons