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Solid Geometry

• Definition of an edge
• Definition of a face
• Definition of volume

Cube

• Cube definition and properties
• Volume of a cube
• Surface area of a cube

Pyramid

• Pyramid definition and properties
• Oblique and Right Pyramids
• Volume of a pyramid
• Surface area of a pyramid
• Comparison of a cone and a pyramid

Cylinder

• Cylinder - definition and properties
• Cylinder relation to a prism
• Cylinder as the locus of a line
• Oblique cylinders
• Volume of a cylinder
• Volume of a partially filled cylinder
• Surface area of a cylinder
• Derivation of cylinder surface area

Sphere

• Volume of a sphere
• Surface area of a sphere

Cone

• Definition and properties of a cone
• Oblique and Right Cones
• Volume of a cone
• Surface area of a cone
• How the area formula is derived
• Slant height (vs altitude) of a cone
• Comparison of a cone and a pyramid

Conic sections

• Circle
• Ellipse

Prism

• Definition and properties of a prism
• Volume of a prism
• Surface area of a prism

Other polyhedra

• Icosahedron (20 faces, each an equilateral triangle)

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