In this lesson, we're going to explore the exciting world of...
...boxes! 😂
A box with all square sides in math is called a cube.
Cubes are made up of faces, edges, and vertices.
A face is a side that you touch when you hold a shape.
An edge is a line segment where two faces meet.
A vertex is a point where two edges meet.
Tip: The plural of vertex is "vertices".
Tip: 2D shapes have sides and vertices. 3D shapes have faces, edges, and vertices.
How many faces does our box have?
It's made up of 6 square faces.
If you fold the faces and glue them together, it becomes a box with 8 vertices and 12 edges.
How many faces does this gift box have?
Yes.
It has 6 rectangular faces.
When you put the faces together, it becomes a rectangular prism with 8 vertices and 12 edges.
Here's a triangular prism shaped gift box:
How many faces does it have?
Correct, it has 5 faces.
The faces are made of two 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 6 vertices.
How many edges does it have?
Yes, It has 9 edges.
Great work.
Take a look at this gift box:
It's made up of 5 faces.
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.
Here's a round gift box:
It has 2 circular faces that are considered the bases.
It has 1 curved surface.
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.
Did you notice that a cylinder has no points?
That's because a cylinder has no vertex.
Look at this party hat.
It's made up of 1 surface and 1 circular face.
When you wrap the surface around the circle it becomes a cone with 1 vertex and 1 edge.
These chocolate balls are shaped like a sphere.
Spheres have 0 faces, 0 edges and 0 vertices.
Great job learning about vertices, edges, and faces.
Now, complete the practice to help you remember what you learned for longer.