ยง6.2: Volumes by Known Cross Sections
Here we calculate the volume of solids that are not formed by rotation. Instead, we integrate the area formula $A(x)$ of a shape (square, triangle, etc.) as it slides along a base region.
Library, Handouts & Tools
| Resource Name | Type | Description | Link |
|---|---|---|---|
| Interactive Slicing Visualizer | GeoGebra Tool | Visualize squares and triangles stacking up on a circular base. | Launch App |
| Paul's Notes: More Volume Problems | Study Guide | Dedicated section for pyramids and cross-section problems (not rotation). | Read Notes |
| Paul's Notes: Practice Problems | Problem Set | Practice calculating volumes of solids that are not solids of revolution (e.g. using cross-sections). | View Problems |
| Formula Cheat Sheet | Handout | Area formulas for Triangles, Semicircles, and Squares. | Download PDF |