About This Chapter
Perimeter, Area & Volume Overview - Chapter Summary
Watch short videos to get a quality overview of perimeter, area and volume. Developed by top instructors, these video lessons simplify the process of understanding the definitions and formulas for these math concepts. Review the lessons anytime and as often as you'd like. By the end of this chapter, you will have the knowledge to:
- Define and utilize the formula for perimeter
- Provide the meaning of and utilize the formula for area in math
- Discuss the definition and formulas for surface area
- Demonstrate your understanding of volumes of shapes
- Apply scale factors to volume, perimeter and area of similar figures
Each video in this chapter averages about 10 minutes. Watch lessons from your computer or any mobile device that can access the Internet. Use clickable timelines located below the videos to skip to key topics without watching them in full. Access full transcripts of the lessons if you prefer to print the materials and take additional notes. Affirm that you understand perimeter, area and volume by taking short self-assessment quizzes. A chapter exam is also available to reinforce lesson concepts.
1. What is Perimeter? - Definition & Formula
In mathematics, the perimeter is the distance around a two-dimensional shape. The formula for finding the perimeter of certain shapes will be discussed in this lesson, and there will be some examples to help you understand how to calculate the perimeter.
2. What is Area in Math? - Definition & Formula
Area is the size of a two-dimensional surface. This lesson will define area, give some of the most common formulas, and give examples of those formulas. A quiz at the end of the lesson will allow you to work out some area problems on your own.
3. What is Surface Area? - Definition & Formulas
In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.
4. Volumes of Shapes: Definition & Examples
Volume is defined as the 3-dimensional space enclosed by a boundary. In this lesson we will define volume, give some of the most common formulas and then work some example problems to become familiar with the formulas. There will be a quiz at the end of the lesson for practice.
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.
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 within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course
- Real & Rational Numbers
- Exponents & Operations
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Number Theory & Estimation
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Systems of Equations
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Properties of Angles & Lines
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Geometric Construction
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards