Solid Geometry

 

Lines and Planes in Space

·          Plane

1.       Basic Properties of a Plane

·          Two Lines in Space

·          Angle Formed by Two Non-coplanar Lines

·          A Line and a Plane in Space

·          Two Planes in Space

·          Dihedral Angles

Polyhedrons and Solids of Revolution

·          Prism

1.       Oblique Prism, Right Prism, and Regular Prism

2.       Oblique Parallelepiped, Right Parallelepiped, Rectangular Parallelepiped, and Cube

·          Pyramid

1.       Frustum of a Pyramid

·          Right Cylinder

·          Right Cone

2.       Frustum of a Cone

·          Sphere

Surface Areas of Solid Figures

·          Lateral Area of a Right Prism

·          Lateral Area of a Regular Pyramid

·          Lateral Area of a Frustum of a Regular Pyramid

·          Lateral Area of a Right Cylinder

·          Lateral Area of a Right Cone

·          Lateral Area of a Frustum of a Right Cone

·          Surface Area of a Sphere

Volumes of Solid Figures

·          Volume of a Rectangular Solid and Cube

·          Volume of an Oblique Parallelepiped

·          Volume of a Triangular Prism

·          Volume of an n-Sided Prism

·          Volume of a Right Cylinder

·          Volume of a Pyramid

·          Volume of a Cone

·          Volume of a Sphere

Polyhedral Angles and Regular Polyhedrons

·          Polyhedral Angles

·          Regular Polyhedrons

·          Number of Regular Convex Polyhedrons Possible

·          Construction of a Regular Tetrahedron

·          Construction of a Regular Hexahedron

·          Construction of a Regular Octahedron

·          Construction of a Regular Dodecahedron

·          Construction of a Regular Icosahedron