About This Chapter
Measuring Closed Figures & 3D Shapes - Chapter Summary
Watch engaging videos to explore ways to measure closed figures and 3D shapes. This chapter offers all the info you need to understand how to calculate the volume of a cube, find the perimeter of a polygon, determine the surface area of a pyramid and more. Completing this chapter will enable you to do the following:
- Define and use the formula for area in math
- Find the area of triangles and rectangles
- Describe the area and circumference of circles
- Find the surface area of a cube, rectangular prism and cylinder
- Discuss and find the volume of prisms, pyramids, cylinders, cones and spheres
- Determine the perimeter, area and volume of combined figures
Feel free to view the lessons in this chapter as short videos or full transcripts based on your study preferences. Both formats can effectively improve your ability to measure closed figures and 3D shapes. Enjoy access to mini quizzes and a practice exam that can easily gauge your knowledge of this subject. Around-the-clock mobile accessibility gives you the flexibility to study whenever and wherever your schedule permits.
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.
11. Combined Figures: Perimeter, Area, and Volume
Watch this video lesson to learn how you can break up the shapes in a combined figure to easily find the perimeter, area, and volume of the whole figure.
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Other chapters within the WEST-B Reading, Writing & Mathematics: Practice & Study Guide course
- Finding the Main Idea of Reading Passages
- Understanding Reading Selections
- Evaluating Written Arguments
- Point of View, Tone & Meaning
- Figurative Language & Expressions
- Audience & Argument in Written Communication
- Organizing an Essay
- Essay Revision Strategies
- Parts of Speech & Writing Conventions
- Grammar & Sentence Structure
- Working with Fractions & Mixed Numbers
- Decimals, Percents & Operations
- Measurement Concepts & Application
- Basic Geometry Overview
- Properties & Applications of Triangles in Geometry
- Probability, Statistics & Evaluating Data
- Sequences & Algebraic Expressions
- Linear Equation Basics
- Properties of Equality
- Logical Problem Solving in Mathematics
- WEST-B Reading, Writing & Mathematics Flashcards