Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to deconstruct a 3-dimensional figure into its 2-dimensional net. Learn what kind of shape you will get after opening and flattening your 3-dimensional figure.

In this lesson, we will look at 3-dimensional figures and what kind of shapes we get if we open up our 3-dimensional figure and lay it out flat on the floor. A **3-dimensional figure** is a solid that we can hold. For example, this is a 3-dimensional figure:

It is a rectangular brick that we can pick up and hold.

If we cut some of the edges so we can open up this shape and lay its sides flat on the ground, we would be looking at its net.

The **net** is a pattern we can cut out and fold to create a 3-dimensional figure. For our rectangular brick, the net looks like this:

Looking at this net, we see that the two tabs that are sticking out on the sides make up the small sides of the brick. The other sides with the longer rectangles make up the sides that go around. Is it possible to get a different net that represents the same rectangular brick? Yes! The two tabs can be located anywhere along the sides. They could be connected to the bottom long rectangle or the second one on top of that one or even the very top rectangle.

Most nets will have dotted lines or some other line to show you where the bends are. It is very similar to origami instructions that show you where to fold the paper. It does take some imagination to visualize what kind of shape you will get by folding the net if you don't already know the shape. One of the best ways to practice this kind of visualization is to cut out the net and fold it on the lines to see what kind of shape you end up with.

Because the net is made up of all the sides of our 3-dimensional figure, we can also count the number of faces of our 3-dimensional figure from its net. Looking at our net, we can see that the rectangular brick has a total of six faces, or six sides. We have the four longer rectangles and then the two smaller rectangles on the sides.

Let's look at another example. What kind of shape do you get from folding this net?

You see that you need to fold the triangles along the dotted lines. The shape in the middle is a square. Since there is nothing besides the triangles around this square, this means that the triangles must all meet together. Taping the triangular sides together, you see that if you place this 3-dimensional figure so that it rests on the square, then you are looking at a square pyramid. This net is that of a square pyramid!

Let's review what you've learned. A **3-dimensional figure** is a solid that we can hold. The **net** is a pattern we can cut out and fold to create a 3-dimensional figure. It does take some imagination to visualize what kind of shape you will get by folding the net if you don't already know the shape. One of the best ways to practice this kind of visualization is to cut out the net and fold it on the lines to see what kind of shape you end up with. To count the number of faces that the net has, you count all the shapes that are shown in between the borders and the dotted lines.

Learn all about nets of 3-dimensional figures, then demonstrate your ability to:

- Illustrate 3-dimensional figure and net
- Count the faces of a net and make a shape from a net

To unlock this lesson you must be a Study.com Member.

Create your account

Already a member? Log In

BackDid you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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

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.

You are viewing lesson
Lesson
5 in chapter 41 of the course:

Back To Course

6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

- What is a Polyhedron? - Characteristics & Examples 3:08
- Types of Polyhedrons 3:32
- Counting Faces, Edges & Vertices of Polyhedrons 3:46
- Front, Side & Top View of 3-Dimensional Figures 4:55
- Nets of 3-Dimensional Figures 3:09
- What Are Platonic Solids? - Definition and Types 4:39
- Prisms: Definition, Area & Volume 6:12
- Pyramids: Definition, Area & Volume 7:43
- What Are Cylinders? - Definition, Area & Volume 5:09
- Cones: Definition, Area & Volume 8:59
- Spheres: Definition, Area & Volume 5:22
- Go to 6th-8th Grade Geometry: Polyhedrons & Geometric Solids

- DSST Information Guide
- GACE Early Childhood Special Education General Curriculum: Practice & Study Guide
- TExMAT Master Mathematics Teacher EC-4 (087): Study Guide & Practice
- ILTS Gifted Education: Practice & Study Guide
- Academic Writing Essentials
- Programming Basics in C++
- C++ Programming Functions
- Required Assignments for Criminal Justice 381
- Studying for Art 103
- Student Grouping Strategies
- CTEL Test Score Information
- CTEL Test Accommodations
- CTEL Test Retake Policy
- CSET Test Day Preparation
- How to Study for the VCLA Test
- Can You Use a Calculator on the CBEST?
- CTEL Registration Information

- Common Adverbial Clauses & the Subjunctive in Spanish
- Prison Reform: History, Issues & Movement
- Writing a Play: Script Format, Steps & Tips
- How Are ELL Students Identified?
- Helping Employees Identify Personal & Organizational Challenges
- Using Protagonists in Visual Media to Tell a Story
- Encapsulation C++ Programming: Definition & Example
- Program Memory in C++ Programming
- Quiz & Worksheet - Assessing the Cultural Background of ELL Students
- Quiz & Worksheet - Manorialism
- Quiz & Worksheet - Chromic Acid Test Reaction
- Quiz & Worksheet - West Egg in The Great Gatsby
- Quiz & Worksheet - Identifying & Analyzing Text Structure
- Flashcards - Introduction to Research Methods in Psychology
- Flashcards - Clinical Assessment in Psychology

- College Macroeconomics: Tutoring Solution
- AP Chemistry: Tutoring Solution
- Business Math: Help and Review
- High School Algebra II: Homework Help Resource
- NY Regents Exam - Chemistry: Test Prep & Practice
- Filtering & Sorting Data in Excel
- MTEL History: Introduction to Geography
- Quiz & Worksheet - Water's Role on Earth
- Quiz & Worksheet - Coordinating a School Counseling Program
- Quiz & Worksheet - Trends in Mobile Marketing
- Quiz & Worksheet - Geographic Influences on Russian & Central Asian Migration
- Quiz & Worksheet - Impression & Realism in Homer & Sargent

- Soft Skills for Internal Customer Service
- How to Study for CSET Math
- Curriculum-Based Assessment Examples
- Political Spectrum Lesson Plan
- Homeschooling in Arkansas
- National Science Standards for Elementary School
- Homeschooling in Arkansas
- What are the NBPTS Standards?
- Math Card Games for Kids
- Indiana Science Standards
- US Geography Lesson Plan
- Math Brain Teasers for Kids

Browse by subject