Copyright

Ch 11: High School Geometry: Geometric Solids

About This Chapter

Use video lessons with quizzes to learn about the various aspects of geometric solids. These easy-to-follow lessons are just a portion of our online study guide and video collection.

High School Geometry: Geometric Solids - Chapter Summary and Learning Objectives

Geometry is used in various professions, like drafting, architecture, astronomy, medical imaging or graphic design. This chapter explores how planes and lines behave in space. You can learn to define and illustrate many platonic solids, including tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron. You can also meet many other geometric solids, learning to not only define and illustrate them, but also investigating the formulas for their surface areas, volumes or lateral areas. At the end of this chapter, you should be able to:

  • Define a polyhedron and give examples
  • Define and illustrate five types of platonic solids
  • Define and illustrate a prism, pyramid, right circular cylinder, right circular cone and a sphere; explain how to calculate the surface area and volume of each, giving examples
  • Discuss the formulas for lateral area of a pyramid, cylinder and cone

Video Objective
Planes and the Polyhedron In this lesson, you'll learn how lines and planes behave in space.
What Are Platonic Solids? After watching this video, you'll be able to define and illustrate five major types of platonic solids.
Prisms This lesson shows you how to define and calculate the area and volume of prisms.
Pyramids Learn the methods for finding the area and volume of a pyrimid as well as the formula for lateral area of a pyramid.
What Are Cylinders? This video lesson covers the calculation for the area and volume of a cylinder and the formula for lateral area of a cylinder.
Cones We'll show you how to calculate area and volume of a cone and use the formula to find the lateral area of a cone.
Spheres Learn how to calculate area and volume of a sphere.

7 Lessons in Chapter 11: High School Geometry: Geometric Solids
Test your knowledge with a 30-question chapter practice test
Planes and the Polyhedron: Definition and Example

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.

What Are Platonic Solids? - Definition and Types

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.

Prisms: Definition, Area & Volume

3. 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.

Pyramids: Definition, Area & Volume

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.

What Are Cylinders? - Definition, Area & Volume

5. 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.

Cones: Definition, Area & Volume

6. 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.

Spheres: Definition, Area & Volume

7. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support