# Ch 21: Finding Perimeter, Area & Volume

### About This Chapter

## Finding Perimeter, Area & Volume - Chapter Summary

Learn to calculate perimeter (the distance around the outside of a 2-dimensional figure), area (the amount of surface a 2-dimensional figure covers) and volume (the amount of space inside a 2-dimensional figure) through our SAT review lessons. Lessons in this chapter cover the following topics:

- Perimeter of quadrilaterals and irregular or combined shapes
- Perimeter of triangles and rectangles
- Area of triangles and rectangles
- Area of complex figures
- Area and circumference of circles
- Volume of prisms and pyramids
- Volume of cylinders, cones and spheres

Each lesson includes a video presentation, transcript and self-assessment quiz. The videos were designed by our team of professional mathematics educators to be brief yet comprehensive and engaging; however, if you learn better by reading than watching, you might opt to utilize the transcripts. Completing the short multiple-choice quizzes can help you measure your mastery of perimeter, area and volume, as well as familiarize you with the type of questions you'll find on the SAT Mathematics Level I subject test.

### SAT Mathematics Level 1 Objectives

The SAT Mathematics Level I subject test is intended for students who've completed at least one year of high school geometry and two years of high school algebra. Performing well on this exam could make you stand out among other college applicants, particularly if you're interested in a math-based program; this includes not just mathematics majors, but also programs in economics, engineering, science, technology and related fields.

You'll have an hour to complete the 50 multiple-choice questions on this test. Approximately 18-22% of the questions focus on plane Euclidean geometry, which could include questions on area and perimeter, while 4-6% center on 3-dimensional geometry, which might feature questions on volume.

### 1. Perimeter of Quadrilaterals and Irregular or Combined Shapes

Sometimes you need to figure out a shape's perimeter whether you have all the information you want or not. In this lesson, you'll learn how to find the perimeter of any quadrilateral as well as more complicated irregular and combined shapes.

### 2. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

### 3. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

### 4. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 5. Area of Complex Figures

Finding the area of shapes isn't always as simple as it is with squares and rectangles. In this lesson, you'll learn how to find the area of complex figures. This includes finding the area of unusual shapes and finding the area of parts of shapes.

### 6. 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.

### 7. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

### 8. 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.

### 9. 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.

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### Other Chapters

Other chapters within the SAT Subject Test Mathematics Level 1: Practice and Study Guide course

- Basic Arithmetic Calculations
- Rational Numbers
- Square Roots
- Decimals and Percents
- Basic Algebraic Expressions
- Exponents
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Matrices
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Polygons
- Properties of Triangles
- Properties of Circles
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards