About This Chapter
CSET Math: Three-Dimensional Geometry - Chapter Summary
See examples of planes and polyhedra and examine different types of platonic solids with this chapter on three-dimensional geometry. In each lesson, instructors provide concise and easy-to-follow guidance on individual concepts, including instructions on how to apply these concepts as you prepare for the exam. The video lessons focus on the following topics that you'll be asked about on the exam:
- Understanding practical applications for a polyhedron
- Identifying types of platonic solids
- Finding the surface area and volume of cones, pyramids and spheres
- Deriving area and volume of cylinders and prisms
- Determining formulas for volume and surface area of three-dimensional objects
CSET Math: Three-Dimensional Geometry Objectives
The CSET Math exam is used to determine your readiness to become a math teacher in California by testing your knowledge and understanding of geometry, calculus, algebra and other critical math concepts. The exam has three subtests, and you'll find three-dimensional geometry questions on Subtest II. Subtest II has 30 multiple-choice questions and four constructed-response questions focused on probability and statistics and geometry.
Our video lessons come with self-assessment quizzes that you can use to become familiar with the types of questions you'll see on the test. You'll also be able to watch each lesson as often as you want to make sure you're familiar with the subject matter before taking Subtest II.
1. Planes and the Polyhedron: Definition and Example
Did you ever wonder what the pyramids in Egypt have to do with math? Watch this video to find out where in math a pyramid comes into play. Also, learn how flat, 2-dimensional shapes also come into play.
2. What Are Platonic Solids? - Definition and Types
Watch this video lesson, and you will learn that there are only five platonic solids in the whole world. You will also learn what they look like and see real-life examples.
3. Cones: Definition, Area & Volume
Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.
4. Pyramids: Definition, Area & Volume
Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.
5. Spheres: Definition, Area & Volume
Watch this video lesson to learn how you can find the surface area and volume of spheres. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.
6. What Are Cylinders? - Definition, Area & Volume
Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.
7. Prisms: Definition, Area & Volume
Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.
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Other chapters within the CSET Math Subtest II (212): Practice & Study Guide course