About This Chapter
Perimeter, Area and Volume - Chapter Summary
This chapter's lessons demonstrate the formulas used to calculate the perimeter, area and volume of quadrilaterals and circles, as well as of more complicated shapes. You will learn to figure the perimeter of a shape even when you are missing some information. By the end of this chapter, you will be familiar with methods of determining the following:
- Perimeter of triangles and rectangles
- Area and circumference of circles
- Volume of cylinders, cones and spheres
- Volume of pyramids and prisms
- Area of complex figures
- Perimeter of quadrilaterals, irregular and combined shapes
Expert instructors will guide you through these topics, using real-life examples to reinforce the concepts. You can check what you've learned with the self-assessment quizzes at the end of each video, and links to key topics make it easy to go back and re-watch areas that you need to review.
Perimeter, Area and Volume Chapter Objectives
Many incoming students to the California State University system are required to take the ELM exam in order to determine placement in mathematics classes. The ELM consists of 50 multiple-choice questions, and you are given 90 minutes to complete it. The test is divided into three sections, and the questions relating to the topics covered in this chapter are found in the Geometry section, which makes up about 30% of the total test. One of the test's objectives calls for finding the perimeter, area and volume of circles, triangles, quadrilaterals, cylinders, rectangular parallelepipeds and combinations of these figures.
1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
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Other chapters within the Basic Geometry: Help & Review course
- Introduction to Basic Geometry
- Geometry Topics
- Basic Geometry: Lines & Angles
- Basic Geometry: Polygons
- Basic Geometry: Triangles
- Basic Geometry: Quadrilaterals
- Basic Geometry: Circles
- Basic Geometric Constructions
- Basic Geometry: Similar Figures
- Basic Geometry: Perimeter, Circumference & Area
- Basic Geometry: 3-Dimensional Figures
- Lines and Angles in Geometry
- Geometric Properties of Objects
- Geometric Graphing Basics
- Geometric Graphing Functions