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Geometry Videos 251 videos

Surface Area of Cylinders
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Perimeter of Irregular Shapes
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Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...

Introduction to 3D Geometry
55503 Views

It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a...

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Introduction to 3D Geometry 55503 Views


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Description:

It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a little nervous. Back off, cylinder.

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English Language
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Transcript

00:00

3D Geometry, a la Shmoop. Take a seat. Revenge of the Triangles... in

00:09

3D... is about to begin.

00:11

Pending a few previews. You saw it in lame-o-vision last week...

00:15

...but now it's going to be in all three dimensions, comin' at ya.

00:19

Suddenly, there they are - those terrifying triangles.

00:22

Only, they're not triangles anymore... They're prisms! Horrible, gory, flesh-eating

00:27

prisms. Ever seen light refracted through those glass

00:30

shapes to make a rainbow?

00:32

3D shapes have more than just length and width.

00:34

They have depth, too. Most 3D shapes you can make by gluing a bunch

00:39

of 2D shapes together. Be careful with the krazy-glue, though...

00:42

...you don't wanna walk around with a cylinder glued to your head.

00:45

A flat surface of a shape is called a face... ...the line that connects two faces is called

00:54

an edge... ...and a point on a 3D shape is called a vertex.

01:03

Prisms are two parallel polygons called bases with a bunch of lateral faces that connect

01:08

them. They're named after the shape of their bases,

01:11

so we could have... ...triangular prisms or...

01:15

...hexagonal prisms. Cylinders are like prisms, only the bases

01:19

are circles instead. Pyramids are like prisms, but with only one

01:26

base. And cones are pyramids with circular bases.

01:31

Spheres are like balls... but don't try playing basketball with one.

01:37

They're not regulation. Those are the basic three-dimensional shapes,

01:40

and the ones you'll probably see often. There are other ones like polyhedrons, but

01:45

we won't blow your mind any more for the time being.

01:48

Now that you've got a grip on basic 3D geometry... ...you can sit back, relax, and enjoy Revenge

01:54

of the Triangles... in 3D...

01:57

...or... try to.

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