# Ch 17: Three-Dimensional Geometry: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

- Students who have fallen behind in understanding how to find the surface area and volume of three-dimensional shapes
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about three-dimensional geometry for the SAT
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Three-Dimensional Geometry chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Three-Dimensional Geometry chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any three-dimensional geometry question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a three-dimensional geometry unit of a standard math course. Topics covered include:

- Volume of basic shapes
- Volume of pyramids and prisms
- Volume of spheres, cylinders and cones
- Surface area of three-dimensional shapes
- Coordinates in three dimensions
- Scale factors of similar shapes

### 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.

### 6. Volume, Faces & Vertices of an Octagonal Pyramid

Octagonal pyramids show up often in architecture and engineering. This lesson defines these pyramids and their parts. We'll then look at the volume formula for octagonal pyramids and show, through examples, how to use it to find the volume of these types of pyramids.

### 7. Volume & Surface Area of a Torus

You've heard of squares, circles and triangles, but what is a torus? In this lesson, we will learn what a torus is in mathematics, and then we will see how to calculate its surface area and volume. We will also look at a real world example involving these processes.

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### Other Chapters

Other chapters within the SAT Mathematics Level 2: Help and Review course

- Basic Math Review: Help and Review
- Square Roots: Help and Review
- Basic Algebraic Expressions in Math: Help and Review
- Exponents in Math: Help and Review
- Linear Equations & Inequalities in Algebra: Help and Review
- Absolute Value Equations & Inequalities: Help and Review
- Polynomials in Algebra: Help and Review
- Functions in Math: Help and Review
- Rational Expressions in Algebra: Help and Review
- Matrices: Help and Review
- Sequences and Series in Math: Help and Review
- Exponentials and Logarithms in Math: Help and Review
- Complex Numbers in Math: Help and Review
- Coordinate Geometry Basics: Help and Review
- Graphing Linear Equations & Inequalities: Help and Review
- Advanced Coordinate Geometry: Help and Review
- Overview of Trigonometry: Help and Review
- Probability, Combinations & Permutations: Help and Review
- Working with Data & Statistics: Help and Review
- Logic: Help and Review
- Limits in Math: Help and Review