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Ch 22: Solid Geometry

About This Chapter

Review methods for determining the surface area and volume of cylinders, cones, pyramids and other 3-dimensional shapes. This chapter's video lessons and quizzes can prepare you for geometry and measurement questions on the SAT level 1 mathematics subject test.

Solid Geometry - Chapter Summary

Use this chapter to get ready for geometry and measurement questions included on the SAT level 1 mathematics subject test. Video lessons cover methods for calculating the volume and surface area of the following shapes:

  • Cylinders
  • Cones
  • Pyramids
  • Spheres
  • Prisms

Instructors teaching this chapter help transform your knowledge of 2-dimensional shapes into an ability to find the volume and surface area of 3-dimensional shapes over the course of several entertaining video lessons and transcripts. Both formats allow you to skip ahead or go back to key points. There are also self-assessment quizzes you can take once you've finished each lesson. Responses link back to corresponding video content, which could be useful for reaffirming your understanding of the material or mapping out a study plan.

Solid Geometry - Chapter Objectives

The SAT level 1 mathematics subject test assesses your understanding of number operations, algebra, functions, geometry, measurement, data analysis, statistics and probability. Approximately 5% of the exam's multiple-choice questions focus on methods for calculating the surface area and volume of 3-dimensional shapes, which our instructors cover over the course of this chapter.

Total scores on the level 1 mathematics subject test can be used to meet colleges' admission requirements or recommendations. These scores are also useful for bolstering your application or exempting yourself from introductory math courses.

8 Lessons in Chapter 22: Solid Geometry
Test your knowledge with a 30-question chapter practice test
What Are Cylinders? - Definition, Area & Volume

1. 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

2. 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.

Pyramids: Definition, Area & Volume

3. 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.

Spheres: Definition, Area & Volume

4. 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.

Prisms: Definition, Area & Volume

5. 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.

How to Find Surface Area of a Cube and a Rectangular Prism

6. How to Find Surface Area of a Cube and a Rectangular Prism

After watching this video lesson, you will be able to use the formula for the surface area of a rectangular prism. You will know what measurements you need to use it and how you can apply it to a cube as well.

How to Find Surface Area of a Cylinder

7. How to Find Surface Area of a Cylinder

Watch this video lesson to learn the formula you can use to find the surface area of a cylinder. Learn the measurements that you'll need as well as how to use them.

How to Find Surface Area of a Pyramid

8. How to Find Surface Area of a Pyramid

In this video lesson, we will learn how to take any pyramid, whether it's a pyramid in Egypt or a little toy pyramid, and calculate how much paint we will need to paint it. Learn the formula and what is behind it.

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

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