About This Chapter
Ohio EOCE Geometry: 3D Shapes - Chapter Summary
Before you take the Ohio End of Course Exam (EOCE) on Geometry, you should make sure that you have a thorough understanding of the subject of 3D shapes. You can do this by going over the helpful lessons that you will find contained in this chapter. Each lesson will go over a different subtopic that might be included on the exam, such as:
- Cylinder, cone and sphere volume
- Cavalieri's Principle and volume
- The definition, area and volume of pyramids
- The definition and examples of 3D shapes
- 3D shapes in geometry
- How to find the properties of 3D objects on the SAT
The lesson's instructors will go through all of these topics step-by-step, ensuring that you come away with all information you may need to know for the Ohio EOCE. You can also prepare for the exam by taking the practice quizzes also included in the chapter.
1. 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.
2. 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.
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.
4. What are 3D Shapes? - Definition & Examples
What's the difference between 2D and 3D shapes? Learn the answer to this question in this lesson. You will also explore what makes spheres and cubes 3D shapes.
5. Overview of Three-dimensional Shapes in Geometry
We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.
6. Finding the Properties of Three-Dimensional Objects on the SAT
Struggling with 3-D geometry problems on the SAT, like the problems about cubes and spheres? In this lesson, you'll learn how to crack them by breaking them down into more familiar 2-D shapes and solving from there.
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Other chapters within the Ohio End of Course Exam - Geometry: Test Prep & Practice course
- Ohio EOCE - Geometry: Foundations
- Ohio EOCE - Geometry: Lines & Angles
- Ohio EOCE - Geometry: Rotations
- Ohio EOCE - Geometry: Congruence
- Ohio EOCE - Geometry: Logic in Mathematics
- Ohio EOCE - Geometry: Properties of Triangles
- Ohio EOCE - Geometry: Theorems & Proofs
- Ohio EOCE - Geometry: Parallel Lines & Polygons
- Ohio EOCE - Geometry: Similar Shapes
- Ohio EOCE - Geometry: Introduction to Trigonometry
- Ohio EOCE - Geometry: Circular Arcs & Circles
- Ohio EOCE - Geometry: Geometric Properties with Equations
- Ohio EOCE - Geometry: Quadrilaterals
- Ohio EOCE - Geometry: Geometric Solids
- Ohio EOCE - Geometry: Analytical Geometry
- Ohio EOCE - Geometry: Modeling
- Ohio End of Course Exam - Geometry Flashcards