SOLID GEOMETRY
CHAPTER 1: POLYHEDRONS
1. PRISMS
A. BASIC CONCEPTS
B. TYPES OF PRISM
C. SOME SPECIAL PRISMS
1. Parallelepiped
2. Rectangular Solid (Cuboid)
Activity: Euler Bricks
3. Cube
4. Rhombohedron
Activity: Fun with Cubes
D. SURFACE AREA OF A PRISM
E. VOLUME OF A PRISM
1. Volume of a Right Prism
2. Volume of a Rectangular Solid
3. Volume of a Cube
Activity: The Miracle of the Honeycomb
4. Cavalieri's Principle
5. Volume of an Oblique Prism
6. Volume of a Parallelepiped
2. PYRAMIDS and PYRAMIDAL FRUSTUMS
A. BASIC CONCEPTS
B. TYPES OF PYRAMID
1. Right and Oblique Pyramids
2. Regular Pyramid
3. Regular Tetrahedron
Activity: Tetrahedrons
4. Square Pyramid
Activity: The Pyramids of Egypt
5. Regular Octahedron
C. FRUSTUM OF A PYRAMID
D. SURFACE AREA OF A PYRAMID
1. Surface Area of a Regular Pyramid
2. Surface Area of a Pyramidal Frustum
E. VOLUME OF A PYRAMID
Activity: Pyramids in a Cube
F. VOLUME OF A PYRAMIDAL FRUSTUM
CHAPTER 2: SOLIDS OF REVOLUTION
INTRODUCTION
1. CYLINDERS
A. BASIC CONCEPTS
B. TYPES OF CYLINDER
C. SURFACE AREA OF A CYLINDER
D. VOLUME OF A CYLINDER
2. CONES and CONICAL FRUSTUMS
A. BASIC CONCEPTS
B. TYPES OF CONE
C. CONICAL FRUSTUMS
D. SURFACE AREA OF A CONE
E. SURFACE AREA OF A CONICAL FRUSTUM
F. VOLUME OF A CONE
Activity: Some Other Cones
G. VOLUME OF A CONICAL FRUSTUM
Activity: The Volume of a Log
H. CONIC SECTIONS
3. SPHERES
A. BASIC CONCEPTS
B. RELATIVE POSITIONS OF A SPHERE AND A PLANE
C. SECTIONS OF A SPHERE
Activity: Spherical Geometry
D. SURFACE AREA OF A SPHERE
E. SURFACE AREAS OF SPHERICAL SECTIONS
F. VOLUME OF A SPHERE
Activity: Archimedes and Spheres
G. VOLUMES OF SPHERICAL SECTIONS
Activity: Other Curved Solids
CHAPTER 3: RELATIONS BETWEEN SOLIDS
1. SIMILAR SOLIDS
Activity: Area and Volume in Nature
2. INSCRIBED AND CIRCUMSCRIBED SOLIDS
3. REMOVING A SOLID FROM ANOTHER SOLID
4. COMBINATIONS OF SOLIDS