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One concept that calculus students struggle with is volumes of solids with known cross sections. These three-dimensional solids, formed by slicing a region along specific planes, often leave our students bewildered.
In this blog post, I will share several free and user-friendly websites that can aid both teachers and students in visualizing these complex solids.
Be sure to check out: Free Websites for Creating Volumes of Revolution
The websites:
- https://www.geogebra.org/m/jjx7ycbj
- Isosceles Right Triangle Cross Sections Parallel to the y-axis (made by Tim Brzezinski)
- https://www.geogebra.org/m/bvt9xb3x
- Square Cross Sections Parallel to the y-axis (made by Tim Brzezinski)
- https://www.geogebra.org/m/heST6SaC
- includes options for equilateral triangles, squares, circles, right triangles, and polygons (made by Chip Rollinson)
- https://www.geogebra.org/m/XFgMaKTy
- has options for squares, equilateral triangles, semi-circles (made by Michael Andrejkovics)
- you cannot change the function
- https://www.geogebra.org/m/nKbHnter
- options for squares, rectangles, semicircles, circles, and equilateral triangles (made by Ken Schwartz)
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