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What to know for the Chapter 12 Test

Definitions

• Polyhedron
  • Tetrahedron
  • Hexahedron
  • Heptahedron
  • Decahedron
• Regular polyhedron
• Lateral Surface Area
• Total Surface Area
• Prism
• Right Prism
• Oblique Prism
• Altitude of a Prism
• Pyramid
  • Base of a Pyramid
  • Lateral Faces of a Pyramid
  • Altitude of a Pyramid
• Sphere
• Hemisphere
• Cylinder
  • Radius of a Cylinder
  • Axis of a Cylinder
  • Right Cylinder
  • Oblique Cylinder
• Cone
  • Radius of a Cone
  • Altitude of a Cone
  • Right Cone
  • Oblique Cone
• Volume

Postulates

• Surface Area of a Sphere

Theorems

• Lateral Surface Area of a Cylinder (Theorem 111)
• Lateral Surface Area of a Cone (Theorem 112)
• Volume of a Prism or Cylinder (Theorem 113)
• Volume of a Pyramid or a Cone (Theorems 114 & 115)
• Ratio of Cross Sections of Pyramids and/or Cones (Theorem 116)
• Volume of a Sphere (Theorem 117)

Problem Types

• Finding Lateral Surface Area and Total Surface Area of Prisms
• Finding Lateral Surface Area and Total Surface Area of Pyramids
• Finding the Lateral Surface Area and Total Surface Area of Cylinders
• Finding the Lateral Surface Area and Total Surface Area of Cones
• Finding the Surface Area of a Sphere
• Find the Lateral Surface Area and Total Surface Area of a hemisphere
• Finding the Volume of Prisms & Cylinders
• Finding the Volume of Pyramids & Cones
• Finding the Volume of Spheres
• Finding Surface Area and Volume of combined shapes (e.g., frustums, prisms & cylinders with holes cut out, spheres with slices cut out, an ice cream cone, etc.)
• Determining "surfaces of rotation"