About This Chapter
How it works:
- Identify the lessons in Glencoe Geometry's Volume chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the volume topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, re-watch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Volume of basic shapes
- Volume of prisms and pyramids
- Volume of cylinders, cones and spheres
- Volume and Cavalieri's principle
- Congruent and similar solids
- Coordinates in space
Glencoe Geometry is a registered trademark of McGraw-Hill, which is not affiliated with Study.com.
1. 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.
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.
3. 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?
4. Volume & Cavalieri's Principle
Working with volume in geometry would be a lot harder without Cavalieri's Principle. In this lesson, we see how area and height help us compare the volumes of changing shapes, and we can test our new skills with a brief quiz at the end.
5. Properties of Congruent & Similar Solids
Watch this video lesson and you will learn the one characteristic that all congruent solids have and you will learn how the volumes of similar solids are related to their similarity ratio.
6. Graphing in Three Dimensions: Method & Formula
Graphing in three dimensions can be a tough thing to visualize, but once you get that part down it makes geometry much more useful. In this lesson, we learn how to graph using the z-axis as well.
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Other chapters within the Glencoe Geometry: Online Textbook Help course
- Glencoe Geometry Chapter 1: Points, Lines, Planes, and Angles
- Glencoe Geometry Chapter 2: Reasoning and Proof
- Glencoe Geometry Chapter 3: Parallel and Perpendicular Lines
- Glencoe Geometry Chapter 4: Congruent Triangles
- Glencoe Geometry Chapter 5: Relationships in Triangles
- Glencoe Geometry Chapter 6: Proportions and Similarity
- Glencoe Geometry Chapter 7: Right Triangles and Trigonometry
- Glencoe Geometry Chapter 8: Quadrilaterals
- Glencoe Geometry Chapter 9: Transformations
- Glencoe Geometry Chapter 10: Circles
- Glencoe Geometry Chapter 11: Area and Volume
- Glencoe Geometry Chapter 12: Surface Area