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

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Lesson Transcript

Instructor:
*Artem Cheprasov*

This lesson goes over the front, side, and top views of numerous 3-dimensional figures. You'll learn that while some look exactly the same from most angles, others do not.

Have you ever looked at Google maps? Probably. Did you notice how buildings look quite a bit differently when viewed from way up high compared to when you drag that little orange man to street level? Sometimes those buildings are radically different. That's because a 3-D figure shape might not always look the same from every angle. In this lesson, we're going to go over some examples of how this is the case with different views of **3-D**, or 3-dimensional, figures.

Let's start with a couple of easy ones. Let's pretend we're using a Google map-like feature where, from the top of space, we see this circular object on the ground. Now let's drag our little orange man to street level. What do we see? This object still looks like a circle from the side. Okay, let's click around the object. What do we see now? Again, it always looks like a circle whether we're looking at it from the front, side, or top. This is a **sphere**, a geometric object with a round shape. Any point on a sphere's surface is the same distance away from the center of the sphere. Our own planet, Earth, is a good approximation of what a sphere looks like.

Okay, let's zoom out again and search around our earth until we see a square shape from the top. What does this object look like at street level? Once again, we drag the orange man to the side of the square-like shape and, low and behold, it looks like a square from the side as well. We circle around it and, no matter if we look at it from the front, side, or top, it looks like a square. What is this shape? It's a **cube**, a geometric object whose sides are composed of six equal squares. A good example of a cube is a sugar cube.

Okay, let's zoom back out. Next to that sphere we saw before we see another circle from the top. Is this another sphere? Hmmm, let's find out. As we enter street level we see it's clearly anything but. While the sphere looks like a circle from any angle, this object is clearly nothing of the sort. From the front or side it looks pretty much like a rectangle, but from the top or bottom it looks like a circle. What is this shape? It's a **cylinder**, a 3-D object with an elliptical cross-section but straight with parallel sides. A great real-world example of this is a can of soda.

As we zoom out, we see yet another circle next to the sphere and the cylinder from the top. Could this be another sphere or cylinder? Dragging the little orange man to the side of this shape, we see that it doesn't have a circular nor rectangular shape to its side. In fact, the front or side of this object looks like a triangle. This is a **cone**, a 3-D object with a flat, commonly circular, base that tapers to a point. If you lived a century or so ago and you misbehaved, you'd wear a cone hat on your head as punishment, known as a dunce cap.

Okay, last one for this lesson. Let's zoom out again. This time we see a square from the top. Another cube? Nope. When we get down to street level we see that from the side this object looks like a triangle, almost like a cone. This is a **pyramid**, a geometric shape with a square or triangular base whose triangular sides meet at an apex. Perhaps the most famous example of a pyramid is the Great Pyramid of Giza.

Hopefully you're not wearing a cone on your head right now. If you are, then maybe it's because you weren't paying attention to this lesson! So let's review, for everyone's sake. There are many **3-D**, or 3-dimensional, objects. Some of them look exactly the same from the front, side, and top while others do not. A **sphere** is a geometric object with a round shape and one where any point on a sphere's surface is the same distance away from the center of the sphere. A sphere will look exactly the same from any angle. A **cube** is a geometric object whose sides are composed of six equal squares. From the front, side, or top it will look like a square. A **cylinder** is a 3-D object with an elliptical cross-section but straight parallel sides. From the top it will look like an ellipse, such as a circle, but from the side it will look like a rectangle or square. A **cone** is a 3-D object with a flat, commonly circular, base that tapers to a point. From the top, a cone will often look like a circle, but from the side it looks like a triangle. Another object that looks like a triangle from the side is a **pyramid**, which is a geometric shape with a square or triangular base whose triangular sides meet at an apex. From the top, a pyramid will look like a square or triangle, depending on the shape of its base.

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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
- 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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