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Ch 22: Volume & Surface Area

About This Chapter

In this math chapter, you'll review basic concepts related to finding volume and surface area. Our short lessons can help you review these topics for upcoming math tests, and the included quizzes are great resources for boosting your geometry problem-solving skills.

Volume & Surface Area - Chapter Summary

Consult the lessons in this chapter to review geometric formulas for volume and surface area. You'll go over formulas for a variety of basic shapes, and our expert math instructors will walk you through the steps that are needed for finding the surface areas and volumes for pyramids, cylinders, spheres, cubes and more. Upon completion of the chapter, you should be equipped to:

  • Recognize formulas for finding the volumes of basic geometric shapes
  • Determine the volumes of spheres, cones, cylinders, prisms and pyramids
  • Find the surface areas of cubes, rectangular prisms, cylinders and pyramids

The lessons come with printable transcripts as well as short self-assessment quizzes that help you practice solving volume and surface area problems. You can work through the chapter at your own pace using any Internet-connected device, such as a laptop or smartphone. If you have any questions along the way, feel free to take advantage of our easy-to-use Ask the Expert feature.

6 Lessons in Chapter 22: Volume & Surface Area
Test your knowledge with a 30-question chapter practice test
How to Calculate the Volumes of Basic Shapes

1. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

Volume of Cylinders, Cones, and Spheres

2. Volume of Cylinders, Cones, and Spheres

In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.

Volume of Prisms and Pyramids

3. Volume of Prisms and Pyramids

In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.

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

4. 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

5. 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

6. 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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