# Ch 17: Ohio EOCE Integrated Math II: Three-Dimensional Geometry

### About This Chapter

## Ohio EOCE Integrated Math II: Three-Dimensional Geometry - Chapter Summary

Solving three-dimensional geometry problems requires object visualization and the ability to apply the necessary mathematical formulas. In this Ohio EOCE Integrated Math II test prep chapter, you'll review the steps for calculating the volume of prisms, pyramids and cones, among other objects. As you continue through this chapter, you'll also explore how to:

- Solve visualizing geometry problems
- Calculate the volumes of basic shapes
- Apply scale factors to perimeter, area and volume

Once you feel like you've got a solid grasp on these concepts, utilize the brief multiple-choice lesson quizzes and chapter exam to test your understanding. If you struggle with any of the concepts tested, you can conveniently review those specific topics by clicking on the direct links within the quizzes. There are also printable quiz worksheets that can be used to help you identify key concepts as you view each lesson. If you need additional help understanding any of the material covered, expert instructors are always available to answer questions.

### 1. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

### 2. 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?

### 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.

### 4. 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.

### 5. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

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### Other Chapters

Other chapters within the Ohio End of Course Exam - Integrated Math II: Test Prep & Practice course

- Ohio EOCE Integrated Math II: Basic Math Review
- Ohio EOCE Integrated Math II: Basic Algebraic Expressions
- Ohio EOCE Integrated Math II: Solving Word Problems
- Ohio EOCE Integrated Math II: Polynomials
- Ohio EOCE Integrated Math II: Solving Quadratic Equations
- Ohio EOCE Integrated Math II: Linear Equations & Inequalities
- Ohio EOCE Integrated Math II: Absolute Value Equations & Inequalities
- Ohio EOCE Integrated Math II: Graphing Linear Equations & Inequalities
- Ohio EOCE Integrated Math II: Functions in Math
- Ohio EOCE Integrated Math II: Graphing Functions
- Ohio EOCE Integrated Math II: Rational Expressions
- Ohio EOCE Integrated Math II: Matrices
- Ohio EOCE Integrated Math II: Sequences & Series
- Ohio EOCE Integrated Math II: Exponentials & Logarithms
- Ohio EOCE Integrated Math II: Complex Numbers
- Ohio EOCE Integrated Math II: Advanced Coordinate Geometry
- Ohio EOCE Integrated Math II: Overview of Trigonometry
- Ohio EOCE Integrated Math II: Calculating Probability & Permutations
- Ohio EOCE Integrated Math II: Working with Data & Statistics
- Ohio EOCE Integrated Math II: Calculating the Standard Deviation
- Ohio EOCE Integrated Math II: Logic in Mathematics
- Ohio EOCE Integrated Math II: Understanding Limits
- Ohio End of Course Exam - Integrated Math II Flashcards