8.5.4 Surface area of a cylinder
A cylinder can be considered a circular prism, so finding the surface area is a lot like a regular prism:
- Consider how many sides the shape will have
- Find the area of each side
- Find the sum of the areas
Resources
- Notes Template (8.5.4.notes.cylinder.sa.pdf)
- Watch the 5 videos and complete your notes:
In-Class Assignment
- p186 #3, 5, 6, 8, 9, 10, 11, 12, 13
8.5.3 Surface Area
Every 3d shape has a surface. The total area of that shape is the surface area. If the 3d shape is a polyhedron (something with flat faces) then it is usually pretty easy to find the total area of the surface:
Resources:
- What is a prism? Watch the Prism Video on Youtube if you're not sure. All the prisms we will be looking at in this course are "right prisms"
Notes:
- Watch the 4 videos shown below and complete your notes before coming to next class.
- Blank Notes Template: 8C.5.3 Surface Area
In Class Assignment:
- HW 5.3 p180 #3-8, 10, 12, 13, 15
8.5.2 Nets
What are other ways to represent a 3d shape in two dimensions? We saw last class that you can use one of several different views, but we can also take the shape and look at its "skin". When you cut a polyhedron along some of its edges to lay it flat, we get a net:
Resources:
Fun Ideas with Nets and Networks
- Polyhedron Nets (paper nets)
- Konigsberg Network Problems - read about Euler's solution to the "bridge" problem and about 4 colour map theory!
- Six Degrees of Separation Network theory was the foundation for the idea that every person in the world is connected by no more than 6 connections. This was popularized in the game "Six Degrees of Kevin Bacon" that appeared in the early 1990's. While designed to be a trivia game, the Oracle of Bacon will quickly find any actor's "Bacon Number" for you.
Assignment:
- P173 #3, 4, 6, 7, 8, 9, *12 *13
