About This Chapter
Who's It For?
Anyone who needs help learning or mastering 3-dimensional figures material will benefit from the lessons in this chapter. There is no faster or easier way to learn about 3-dimensional figures. Among those who would benefit are:
- Students who have fallen behind in understanding 3-dimensional figures
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about 3-dimensional figures
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How It Works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the 3-Dimensional Figures chapter exam.
Why It Works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the 3-Dimensional Figures chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any 3-dimensional figures question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students Will Review:
This chapter helps students review the concepts in a 3-dimensional figures unit of a standard basic geometry course. Topics covered include:
- Definition of planes and polyhedrons
- The five platonic solids
- Various 3-dimensional shapes
- Formulas for finding the surface area of 3-dimensional shapes
- Calculating volume for prisms, pyramids, cylinders, cones and spheres
- Measuring perimeter, area and volume of combined figures
1. Planes and the Polyhedron: Definition and Example
Did you ever wonder what the pyramids in Egypt have to do with math? Watch this video to find out where in math a pyramid comes into play. Also, learn how flat, 2-dimensional shapes also come into play.
2. What Are Platonic Solids? - Definition and Types
Watch this video lesson, and you will learn that there are only five platonic solids in the whole world. You will also learn what they look like and see real-life examples.
3. Volume & Surface Area of a Truncated Cone
In this lesson, we'll learn what a truncated cone is and what one looks like. We'll then go on to see the formulas we can use to calculate the volume and surface area of a truncated cone as well as apply them to an example.
4. Surface Area of a Triangular Prism
In this lesson, we will go on a camping trip involving a triangular prism and its surface area. We'll define a triangular prism, derive a formula for finding its surface area, and then use the formula to solve our camping conundrum.
5. Volume & Surface Area of a Trapezoidal Prism
Trapezoidal prisms are three dimensional solids. They consist of two congruent trapezoids that are connected to each other by four rectangles. This lesson will include the definition and how to find the surface area and the volume of these solids.
6. Surface Area of a Pentagonal Prism
In this lesson, we determine the surface area of a pentagonal prism. By carefully calculating the surface area of a prism whose dimensions are given, you will understand how a general equation is derived.
7. Surface Area of a Tube
You might know what a tube is, but in this lesson, we will learn about it mathematically. We will learn what the surface area of a tube is and how to find that surface area using a formula - all while rescuing a fuzzy little kitten!
8. Volume & Surface Area of a Tetrahedron
Did you know that all you need to know to figure out the volume and surface area of a tetrahedron is the length of one of its sides? In this lesson, you'll learn what these two formulas are.
9. Mobius Strip: Definition, Explanation & Uses
After reading this lesson, you'll know how you can make your own Mobius strip and you'll know where you'll find it in action in the real world. And you'll know what about it makes it so unique and intriguing at the same time.
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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
- Lines and Angles in Geometry
- Perimeter, Area & Volume
- Geometric Properties of Objects
- Geometric Graphing Basics
- Geometric Graphing Functions