Polyhedron
29 min 14 Examples
- Introduction to Polyhedrons
- What is a Polyhedron? (Examples #1-7)
- How do we classify regular and convex polyhedron? (Examples #8-10)
- Euler’s theorem for finding faces, vertices, and edges (Examples #11-14)
Prism
58 min 11 Examples
- Introduction to prisms
- What is a prism? formulas for lateral area, surface area, and volume
- Find the surface area and volume for each prism (Examples #1-6)
- Use the volume addition postulate to find the volume of the polyhedron (Examples #7-8)
- Determine the number of gallons of water in a swimming pool given its volume (Example #9)
- Find the surface area of a right rectangular prism (Example #10)
- Find the surface area of an oblique prism (Example #11)
Pyramid
1 hr 5 min 8 Examples
- Introduction to video: area and volume of pyramids
- What is a pyramid? Formulas for finding volume, lateral area, and surface area
- Find the volume of each type of pyramid (Examples #1-3)
- Find the lateral area and surface area of a square pyramid (Example #4)
- Find the lateral and surface area of a triangular pyramid (Example #5)
- Find the surface and lateral area of a hexagonal pyramid (Example #6)
- For an octagonal pyramid, find the lateral area and surface area (Example #7)
- Find the volume and surface area of a composite solid (Example #8)
Cone Cylinder
37 min 9 Examples
- Introduction to video: cylinders and cones
- Formulas for finding the volume and surface area of a cylinder and cone
- Find the volume of the solid (Examples #1-4)
- Find the surface area of the solid (Examples #5-8)
- Find the volume and surface of the composite solid (Example #9)
Sphere
46 min 7 Examples
- Introduction to spheres
- How to find the volume and surface area of a sphere (Examples #1-3)
- Find the volume and surface area of the hemisphere and composite solid (Examples #4-5)
- Find the volume and surface area of the composite solid involving spheres, cones, and cylinders (Examples #6-7)
Similar Solids
45 min 12 Examples
- Introduction
- Determine if the solids are similar (Examples #1-5)
- Similar solids theorem
- Find the surface area and volume of the larger solid given the scale factor (Examples #6-8)
- Find the scale factor for the similar solids (Examples #9-11)
- Find the missing side lengths given the scale factor for two similar solids (Example #12)
Chapter Test
1 hr 29 min 18 Problems
- Identify the following (Problems #1-2)
- Find the Volume, Lateral Area, and Surface Area for each solid (Problems #3-4)
- Find the Volume, Lateral Area, and Surface Area for each solid (Problems #5-8)
- Find the Volume, Lateral Area, and Surface Area for each regular solid (Problems #9-10)
- Find the Volume, Lateral Area, and Surface Area for the regular hexagonal prism (Problem #11)
- Find the Volume of the Composite Solid (Problem #12)
- Find the Volume of each composite solid (Problems #13-14)
- Find the ratio of surface areas and volumes for two similar solids (Problems #15-16)
- Find the scale factor given the ratio of volumes or areas (Problems #17-18)
