Surface Area Increase by Size Reduction

This Demonstration shows how breaking up a cube into smaller ones increases the total surface area.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Upon successive breakage into smaller cubes, each time by halving the sides, the volume remains constant while the surface area increases dramatically. The total area of all cubes at each iteration is the red dot on the continuous line plot of area/volume.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Related Curriculum Standards

US Common Core State Standards, Mathematics