4 Sides And 4 Vertices

What Are Vertices, Edges and Faces?

In this lesson, we're going to explore the heady world of...

$box$

...boxes! 😂

A box with all foursquare sides in math is chosen a cube.

Cubes are made upwards of faces, edges, and vertices.

$box$

Key Point: A face up is a side that you impact when y'all agree a shape.

Key Point: An edge is a line segment where two faces meet.

Key Point: A vertex is a point where two edges meet.

Tip : The plural of vertex is "vertices".

How many faces does our box have?

It's made up of 6 square faces.

$6 faces$

If you fold the faces and gum them together, information technology becomes a box with 8 vertices and 12 edges !

$vertices and edges$

Counting the Faces, Edges, and Vertices

Take a look at this gift box.

$gift box$

👉 How many faces does information technology take?

Yeah!

Information technology has 6 rectangular faces.

$faces, vertices, and edges of a 3D shape$

When yous put the faces together, it becomes a rectangular prism with viii vertices and 12 edges!

Triangular Prism

Here's a triangular prism shaped gift box:

$gift box$

👉 How many faces does it have?

Right! 😀 It has 5 faces.

But the faces are made of ii different shapes.

2 are triangles and 3 are rectangles!

When you join the faces together, it becomes a triangular prism.

👉 How many vertices does it have?

You got it! 😎

It has six vertices.

$faces, vertices, and edges$

👉 How many edges does it take?

Yes! It has 9 edges!

Great work! 🙌

Square Pyramid

Take a look at this souvenir box:

$triangular gift box$

It'southward fabricated up of five faces.

$vertices and edges of a pyramid$

Are the shapes of the faces the same?

No, they're not! 🧐

4 are triangles and 1 is a square. 😀

When you join the faces together, it becomes a square based pyramid with 5 vertices and 8 edges!

Cylinder

Here'due south a round gift box:

$round gift box$

It has 2 circular faces that are considered the bases.

It has one curved surface.

Key Point: A curved surface doesn't count as a face. Faces are flat.

When you wrap the surface around the circles, it becomes a cylinder with 2 edges and 0 vertices.

$face, surface, and edges of a cylinder$

Did you find that a cylinder has no point?

That'due south because a cylinder has no vertex. 😀

Cone

Look at this party lid.

$party hat$

It's made up of 1 surface and one circular face.

When you wrap the surface around the circle it becomes a cone with i vertex and 1 border.

$surface, face, vertex and edge of a party hat$

What about Spheres?

These chocolate balls are shaped similar a sphere.

$sphere-shaped chocolates$

Spheres have 0 faces, 0 edges and 0 vertices.

Groovy chore learning almost vertices, edges, and faces! 🌞

Now, complete the do to assist you remember what you lot learned for longer.