Chapter 15 One-Pagers — Geometric Solids
One page per lesson, based on the teaching plan’s terms and concepts. Each page gives the vocabulary, the key rules, a homework helper, and common mistakes.
| Lesson | Topic | One-pager |
|---|---|---|
| 1 | Lines and Planes in Space | Lesson 1 |
| 2 | Rectangular Solids | Lesson 2 |
| 3 | Prisms | Lesson 3 |
| 4 | The Volume of a Prism | Lesson 4 |
| 5 | Pyramids | Lesson 5 |
| 6 | Cylinders and Cones | Lesson 6 |
| 7 | Spheres | Lesson 7 |
| 8 | Similar Solids | Lesson 8 |
| 9 | The Regular Polyhedra | Lesson 9 |
The big formulas of the chapter
- Diagonal of a rectangular solid: d = √(l² + w² + h²)
- Volume of a prism: V = Bh
- Volume of a pyramid: V = ⅓Bh
- Volume of a cylinder: V = πr²h
- Volume of a cone: V = ⅓πr²h
- Volume of a sphere: V = ⁴⁄₃πr³
- Surface area of a sphere: A = 4πr²
- Similar solids: area ratio r², volume ratio r³