# Ch 30: MTEL Middle School Mathematics: Area, Perimeter & Volume

### About This Chapter

## MTEL Middle School Mathematics: Area, Perimeter & Volume - Chapter Summary

Let us help you study for the MTEL Middle School Mathematics exam by exploring the processes for collecting the area, perimeter and volume of a geometric figure. By the end of this chapter, you will have examined:

- Perimeter of polygons
- Definition of area in math
- Area of triangles and retangles
- Circumference and area of circles
- Volume of cubes
- Surface area of cubes, rectangular prisms, cylinders and pyramids
- Volume of prisms, pyramids, cylinders, cones and spheres

The lessons in this chapter have been designed to provide you with several different methods for learning. You'll find a video included with each lesson to help illustrate the information being reviewed. The video's transcript is included as a text-based resource. You can then take a self-assessment quiz at the end of each lesson to test your knowledge and see how questions may appear on the exam. If you want to review a particular portion of the lesson, utilize the timeline below each video.

### 1. Finding the Perimeter of Polygons

In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.

### 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. 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.

### 4. 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.

### 5. How to Calculate the Volume of a Cube: Formula & Practice

In this lesson, you will explore the formula used to calculate the volume of a cube. You will also gain a conceptual understanding of volume and appropriate units to use. Then test your knowledge in a brief quiz.

### 6. How to Find Surface Area of a Cube and a Rectangular Prism

After watching this video lesson, you will be able to use the formula for the surface area of a rectangular prism. You will know what measurements you need to use it and how you can apply it to a cube as well.

### 7. How to Find Surface Area of a Cylinder

Watch this video lesson to learn the formula you can use to find the surface area of a cylinder. Learn the measurements that you'll need as well as how to use them.

### 8. How to Find Surface Area of a Pyramid

In this video lesson, we will learn how to take any pyramid, whether it's a pyramid in Egypt or a little toy pyramid, and calculate how much paint we will need to paint it. Learn the formula and what is behind it.

### 9. 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.

### 10. 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

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

- MTEL Middle School Mathematics: Number Structure
- MTEL Middle School Mathematics: Absolute Value
- MTEL Middle School Mathematics: Math Properties
- MTEL Middle School Mathematics: Concept of Equality
- MTEL Middle School Mathematics: Operations
- MTEL Middle School Mathematics: Introduction to Fractions
- MTEL Middle School Mathematics: Operations with Fractions
- MTEL Middle School Mathematics: Decimals
- MTEL Middle School Mathematics: Percent
- MTEL Middle School Mathematics: Ratios, Proportions & Rate of Change
- MTEL Middle School Mathematics: Estimating
- MTEL Middle School Mathematics: Real Numbers
- MTEL Middle School Mathematics: Exponents
- MTEL Middle School Mathematics: Number Properties
- MTEL Middle School Mathematics: Roots & Powers
- MTEL Middle School Mathematics: Algebra Basics
- MTEL Middle School Mathematics: Principles of Algebra
- MTEL Middle School Mathematics: Functions
- MTEL Middle School Mathematics: Linear Equations
- MTEL Middle School Mathematics: Polynomials
- MTEL Middle School Mathematics: Quadratic Equations
- MTEL Middle School Mathematics: Vectors in Linear Algebra
- MTEL Middle School Mathematics: Matrices in Linear Algebra
- MTEL Middle School Mathematics: Patterns
- MTEL Middle School Mathematics: Measurement
- MTEL Middle School Mathematics: History of Geometry
- MTEL Middle School Mathematics: Properties & Theorems of Geometry
- MTEL Middle School Mathematics: Principles of Geometry
- MTEL Middle School Mathematics: Pre-Calculus Geometry
- MTEL Middle School Mathematics: Trigonometric Functions
- MTEL Middle School Mathematics: Trigonometric Graphs
- MTEL Middle School Mathematics: Solving Trigonometric Equations
- MTEL Middle School Mathematics: Trigonometric Identities
- MTEL Middle School Mathematics: Trigonometric Applications
- MTEL Middle School Mathematics: Data
- MTEL Middle School Mathematics: Probability & Statistics
- MTEL Middle School Mathematics: Probability & Science
- MTEL Middle School Mathematics: Calculating Probability & Statistics
- MTEL Middle School Mathematics: Logic
- MTEL Mathematics (Middle School) Flashcards