Units of a Cube

In geometry, cubic units can be defined as the units used to measure volume. In this lesson, pupils will learn how to calculate the volume and area of a variety of complex 4 x 4 x 4 rectangular prisms before modelling the missing parts of each rectangular prism in TinkerCAD®.
Subjects
Design and TechnologyMathematicsComputingScienceMasaryk University
Years | Grades
9th Grade | 13-14 years8th Grade | 12-13 years10th Grade | 14-15 years11th Grade | 15-16 years
Duration
Lesson 1: 90 minutes Print Time: 1-2 hours

Units of a Cube trailer
Play 0:44

Objectives

  • Calculate the volume and surface of the presented 3D solid
  • Draw a 3D solid that would complement the presented 3D solid on a 4 x 4 x 4 cube
  • Construct the results using TinkerCAD® software and print it out, check with the 3D model of the 4 x 4 x 4 unit cube
 

Tools and equipment

  • Graph paper
  • BE3D eDee Printer
  • Set of example models – parts of 4 x 4 x 4 cube
  • Access to a computer that can access the Internet and TinkerCAD®
 

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 DeeControl2 software including adjusting print settings
  • Use the BE3D eDee 3D printer

Units of a Cube walkthrough
Play 1:39

3D models overview

  • Total print time 17 hours 30 minutes
  • Total filament 27 m
  • Additional non-printable components
  • Printed all at once
Cube 1
  • 3 hours
  • 5.4 m
Cube 2
  • 2 hours 15 minutes
  • 3.5 m
Cube 3
  • 2 hours
  • 2.6 m
Cube 4
  • 1 hour 45 minutes
  • 2 m
Cube 5
  • 2 hours 15 minutes
  • 3.5 m
Cube 6
  • 2 hours 15 minutes
  • 3 m
Cube volume quadrant
  • 2 hours 30 minutes
  • 5.2 m
Volume supplement to Cube 1
  • 1 hour 30 minutes
  • 1.8 m
Note: Values are calculated for one set of models.

Lesson resources

  • Lesson plan
  • Example models
  • Worksheet
  • Walkthrough
  • Presentation
  • 3D models
  • 3D print instructions
  • Curriculum alignment