Welcome to The Shapes of Math!

This website is intended as an educational tool. Its purpose is to show how geometric area and volume formulas are derived. This is accomplished with the use of algebra and geometry only. No calculus or trigonometry allowed!

Instructions for students can be found in the For Students section.

Instructions for teachers can be found in the For Teachers section.


Javascript must be enabled for The Shapes of Math to function correctly.

The website makes extensive use of GeoGebra applets. While GeoGebra itself is not required, it is a very cool program that is worth installing and playing with.


In order for the GeoGebra applets to run, the latest version of Java is required.

Java Runtimes

IMPORTANT NOTE! This site has not been tested under Internet Explorer, nor will it be. IE is NOT recommended for viewing this site. If you are using IE, please do yourself a favor and install one of these W3C standards-compliant browsers:

Mozilla Firefox

Google Chrome

You'll be happy you did. I promise.