# Ch 20: 5th Grade Math: Perimeter, Area & Volume

### About This Chapter

## 5th Grade Math: Perimeter, Area and Volume - Chapter Summary

The Perimeter, Area and Volume chapter covers the counting method as well as area formulas and examples. Use the chapter's lessons to teach your 5th grade students how to calculate the area, volume and perimeter of shapes that include pyramids, prisms, rectangles and triangles. The lesson quizzes will test your students' knowledge.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

Perimeter: Definition and Counting Method | Teachers define perimeter and explain the counting method. |

Perimeter of Triangles and Rectangles | This lesson teaches students to calculate the perimeter of rectangles and triangles. |

Area: Definition and Counting Method | Students are taught to define and calculate area. |

Measuring the Area of a Parallelogram: Formula and Examples | This lesson provides the formula for finding the area of a parallelogram. |

Measuring the Area of a Rhombus: Formula and Examples | Students learn to use the side, angle, altitude and diagonals to calculate the area of a rhombus. |

Measuring the Area of a Rectangle: Formula and Examples | Instructors teach students to calculate square footage. |

Measuring the Area of a Trapezoid | Students learn to identify measurements and calculate the area of a trapezoid. |

Area of Triangles and Rectangles | Students solve practice problems for finding the area of triangles and rectangles. |

Prisms: Definition, Area and Volume | This lesson teaches students to find the volume as well as the lateral and surface areas of prisms. |

Pyramids: Definition, Area and Volume | Students learn to find the volume and surface area of pyramids. |

What are Cylinders? - Definition, Area and Volume | Students calculate the area and volume of cylinders. |

Cones: Definition, Area and Volume | Cones are defined, and teachers provide the rules for finding their surface area and volume. |

Spheres: Definition, Area and Volume | Students learn to calculate the radius and surface area of spheres. |

### 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. Measuring the Area of a Parallelogram: Formula & Examples

Watch this video lesson to learn the simple formula to find the area of a parallelogram. Learn what measurements you need, how to label your parallelogram, and how to use the formula.

### 3. Measuring the Area of a Rhombus: Formula & Examples

Did you know that there are three ways to find the area of a rhombus? Watch this video lesson to learn all three of them. See what information you need for each method as well as the steps required for each.

### 4. Measuring the Area of a Rectangle: Formula & Examples

Look around you, and you see rectangles all over the place. And if you see paint, carpet, or anything that covers a rectangular area, you can be sure that someone has measured the area of the rectangle. Watch this video lesson to learn more.

### 5. Measuring the Area of a Trapezoid

In this video lesson, you will watch and learn how you can find the area of trapezoid. Learn what measurements you need to have on hand as well as the formula that you need to use.

### 6. 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.

### 7. Prisms: Definition, Area & Volume

Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.

### 8. Pyramids: Definition, Area & Volume

Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.

### 9. What Are Cylinders? - Definition, Area & Volume

Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.

### 10. Cones: Definition, Area & Volume

Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.

### 11. Spheres: Definition, Area & Volume

Watch this video lesson to learn how you can find the surface area and volume of spheres. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.

### 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 5th Grade Math: Practice & Review course

- 5th Grade Math: Number Sense & Arithmetic
- 5th Grade Math: Number Properties
- 5th Grade Math: Solving Math Word Problems
- 5th Grade Math: Estimation & Rounding
- 5th Grade Math: Addition
- 5th Grade Math: Subtraction
- 5th Grade Math: Multiplication
- 5th Grade Math: Multiples of Whole Numbers
- 5th Grade Math: Division
- 5th Grade Math: Simplifying Whole Number Expressions
- 5th Grade Math: Basic Algebraic Expressions
- 5th Grade Math: Data & Graphs
- 5th Grade Math: Probability & Statistics
- 5th Grade Math: Units of Measurement
- 5th Grade Math: Introduction to Geometric Figures
- 5th Grade Math: Angles
- 5th Grade Math: Triangles
- 5th Grade Math: Quadrilaterals
- 5th Grade Math: Circles
- 5th Grade Math: Symmetry, Similarity & Congruence
- 5th Grade Math: Fractions
- 5th Grade Math: Operations with Fractions
- 5th Grade Math: Decimals
- 5th Grade Math: Operations with Decimals
- 5th Grade Math: Mixed Operations
- 5th Grade Math: Money
- 5th Grade Math: Time
- 5th Grade Math: The Coordinate Graph
- 5th Grade Math: Patterns & Sequences
- 5th Grade Math: Number Theory
- 5th Grade Math: Integers
- 5th Grade Math: Percents
- 5th Grade Math: Rates, Ratios & Proportions