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Basic Geometry: Help & Review16 chapters | 105 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.

We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.

We are surrounded by three-dimensional shapes. We define a **three-dimensional shape** as any shape that has three dimensions. What are these three dimensions? They are length, width, and height. Look at your computer, and you are looking at a three-dimensional object. You see that it takes up space front and back, sideways, and up and down.

In this video lesson, we will look at some basic three-dimensional shapes, such as rectangular prisms, cubes, cylinders, and spheres.

Look at any brick, like the ones that people use to build houses, and you are looking at a **rectangular prism**. Moving boxes and storage boxes are all rectangular prisms, too. All of these are three-dimensional shapes because you have a width, a length, and a height.

If you go to the store to look for these boxes and bricks, you will see that they are labeled by their dimensions. You will see perhaps a sign that says 2 feet long by 3 feet wide by 4 feet high. This means that the box is 2 feet long, 3 feet wide, and 4 feet high. Look carefully, too, and you will see that every single corner of a rectangular prism is a right angle. The three dimensions though can be different sizes.

A **cube** is a rectangular prism where all the sides are the same size. Think of playing dice, and you are looking at a cube. Just like a rectangular prism, all the corners of a cube are right angles. The dimensions of a cube, though, will only have one number. We refer to a cube by its one dimension. So, instead of saying 1 inch long by 1 inch wide by 1 inch high, we just say a 1-inch cube.

Our next shape is a **cylinder**, a round stick. A soda can is a cylinder. See how it is all the same roundness going all the way up:

Lay a cylinder so it is standing up, and you will get a circle if you outline it. Because we have this circle, we define a cylinder by its radius and also its height. We say that a cylinder has a height of 6 inches and a 2-inch radius.

Our last shape is a **sphere**, or a ball. Any ball, such as a basketball or a tennis ball, is a sphere. Blow a bubble and you also have a sphere. It is perfectly round. Just like a circle only has one dimension, its radius, a sphere has only one dimension, its radius as well. Spheres can be defined by this one measurement. So, we say a sphere with a 3-inch radius, for example.

Now that we've covered some of our basic shapes, let's review. We learned that a **three-dimensional shape** is any shape that has three dimensions. All the shapes in our real world are three-dimensional. We live in a three-dimensional world after all. The shapes we covered in this lesson include the rectangular prism, the cube, the cylinder, and the sphere.

We learned that a **rectangular prism** is like a brick. It is defined by its length, width, and height. A **cube** is a rectangular prism where all the sides are the same size. A cube is defined by one of its sides. A **cylinder** is a round stick. It is defined by its radius and its height. A **sphere** is a ball and is defined by its radius.

Once you've finished with this lesson, you should have the ability to:

- Define three-dimensional shape
- Describe the shape of a rectangular prism, cube, cylinder, and a sphere
- Explain how each shape is defined

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Basic Geometry: Help & Review16 chapters | 105 lessons

- Points, Lines & Angles in Geometry 5:13
- Overview of the Basic Shapes in Geometry 3:46
- Vertical Angles & Complementary Angles: Definition & Examples 4:17
- Overview of Three-dimensional Shapes in Geometry 3:28
- How to Find Surface Area of a Cylinder 4:26
- How to Find Surface Area of a Pyramid 5:11
- Combined Figures: Perimeter, Area, and Volume 5:38
- Go to Geometry Topics

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