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6th-8th Grade Math: Practice & Review55 chapters | 466 lessons

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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 identify a polyhedron when you see one. You will also be able to tell your friends what the distinguishing identifying factor of a polyhedron is.

In this lesson, you will see what polyhedrons are. Why is it important to learn about polyhedrons? It is good to learn about polyhedrons because these shapes play an important part in more complex math problems.

In math, we define a **polyhedron** as a solid with flat faces. What does this mean? When you see or hear the word 'solid,' it refers to a shape that is 3-dimensional. When a shape is 3-dimensional, it means that it has space inside of it. It is not a flat object that you draw on a flat piece of paper. In other words, 3-dimensional solids are things that you can hold. Your computer is a 3-dimensional solid, as is your television and your teddy bear. But not all of these things are polyhedrons.

There are actually quite a few things around you that are polyhedrons if you look at them carefully. How can you find these polyhedrons?

You can identify polyhedrons by their identifying characteristic. So, what is this characteristic? It is that these solids all have flat faces. They don't have curved faces. The word 'faces' refers to the sides of the solid. So if all the sides of the solid are flat, then it is a polyhedron. But if the solid has any curved sides at all, then it is not a polyhedron.

So, your teddy bear is not a polyhedron. If your television has a curved screen, then it is not a polyhedron. But if your television has all flat sides, then it is a polyhedron. The same goes for your computer; if all the sides are flat, then it is a polyhedron.

There are many other examples of polyhedrons in the world around you. Here are some other examples.

- The soccer ball is a great example. Look at a soccer ball, and you will see that its black and white faces are flat. Because all of its sides are flat, it is a polyhedron.
- Most prisms are polyhedrons. A triangular prism is a polyhedron because all of its sides are flat. Any prism with all flat sides is a polyhedron.
- Building bricks are also polyhedrons because all of their faces are flat. Toy building blocks are also polyhedrons because they, too, have all flat sides.
- Many houses are also polyhedrons because all of their sides are also flat. Most castles are not polyhedrons because many of them have round towers.
- The pyramids are also examples of polyhedrons because all their sides are also flat.

Let's review what we've learned. In this lesson, we talked about polyhedrons. **Polyhedrons** are solids with flat faces. Any 3-dimensional solid is a polyhedron if all of its sides are flat.

Examples of real-world polyhedrons include soccer balls, prisms, bricks, houses, and pyramids. All of these shapes have flat sides. If a shape has a curved side of any kind, then it is no longer a polyhedron.

When you are finished, you should be able to:

- Recite what a polyhedron is
- State the identifying characteristic of a polyhedron
- Identify real-world examples of polyhedrons

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6th-8th Grade Math: Practice & Review55 chapters | 466 lessons

- What is a Polyhedron? - Characteristics & Examples 3:08
- Counting Faces, Edges & Vertices of Polyhedrons 3:46
- Nets of 3-Dimensional Figures 3:09
- Planes and the Polyhedron: Definition and Example 3:52
- 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

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