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Project 20 : Cross Sections

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Rakhee Mishra

 


Cross Sections in the Real World – From Saws to Software

Objective:

To explore how the mathematical concept of cross sections is applied in real life – in fields like carpentry, 3D design, and architecture – and to build models (physical or digital) using stacked cross sections.

Project Overview:

In this project, you will:

  1. Learn what a cross section is and how it is formed.
  2. Investigate how carpenters use different kinds of cuts (like bevel, mitre, straight cuts) and what cross sections are produced.
  3. Explore how engineers and designers use CAD software to create 3D objects by stacking cross-sectional layers.
  4. Create your own model using paper, cardboard, or any creative material — OR design a digital 3D shape by showing how stacking 2D slices forms a 3D object.
  5. Present your project through drawings, models, or a short write-up/video explaining what you did and learned.

Suggested Activities & Sections:

🔹 Part 1: What Is a Cross Section?

  • Define and illustrate what a cross section is.
  • Show the cross sections of basic shapes (cube, cylinder, cone, pyramid) using sketches or cut-outs.
  • Parallel cross section 

🔹 Part 2: Cuts in Carpentry



  • Research three kinds of cuts used in carpentry: Straight, Bevel, Mitre, etc.
  • Draw and describe the cross-sectional shape that results from each.
  • Optional: Talk to a local carpenter or watch a video demonstrating these cuts.

🔹 Part 3: Cross Sections in 3D Modeling

  • Learn how CAD (Computer-Aided Design) software or 3D printing uses layers of cross sections.
  • Illustrate how placing 2D shapes (like circles of different sizes) one on top of the other can form a cone or dome.
  • Try building a layered model using paper circles/squares of different sizes to show this concept.

🔹 Part 4: Build Your Model

Choose one or more of the following:

  • Paper Model: Stack cut-out cross sections to form a 3D shape (e.g., a tree trunk, a mountain, or a staircase).
  • Digital Model: Use a simple tool like Tinkercad (free online) to create a shape from stacked 2D slices.
  • Creative Sculpture: Use clay or thermocol to slice and demonstrate cross sections from different angles.

🔹 Part 5: Reflection & Presentation

  • What was your biggest learning?
  • Where else do you notice cross sections in daily life? (Fruit slices? Machine parts? Maps?)
  • Attach photos/sketches and a short explanation.

Materials You May Use:

  • Cardboard, paper, glue, scissors
  • Clay or thermocol
  • Ruler, compass, protractor
  • Internet for research and images
  • Optional: Computer with internet access for digital design

 

 

 

 

 

 

Assessment Criteria:

Criteria

Marks

Understanding of cross sections

10

Application in real life (research)

10

Creativity of model

10

Presentation & explanation

10

Effort and originality

10

Total

50

 

 

 

 

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Location: Ajmer, Rajasthan, India

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