Faces edges and vertices
Describe 3D shapes using their surfaces, edges and corners.
Quick answer
Faces, edges and vertices are the parts of 3D shapes. Faces are the flat surfaces, edges are the lines where two faces meet, and vertices are the corners where edges come together.
Learning outcome
By the end of this page, you will be able to identify and describe the faces, edges and vertices of common 3D shapes.
- You can name the faces, edges and vertices of a cube
- You can count the number of faces, edges and vertices on a pyramid
- You can describe how 3D shapes are made from flat surfaces
- You can spot 3D shapes in the real world
Why this matters
Understanding faces, edges and vertices helps you see how 3D shapes are built from flat surfaces. This knowledge is useful in art, building, games, and everyday life. When you play with blocks, build a tower, or even look at a box, you're using this knowledge!
How it works
Let's explore 3D shapes step by step:
- Faces are the flat surfaces of a 3D shape. A cube has 6 faces, all squares.
- Edges are the lines where two faces meet. A cube has 12 edges.
- Vertices are the corners where edges come together. A cube has 8 vertices.
Imagine a box of chocolates. Each side of the box is a face. The lines where the sides meet are edges. The corners where the edges meet are vertices.
Examples you can see
Let's look at some common 3D shapes and count their parts:
| Shape | Faces | Edges | Vertices |
|---|---|---|---|
| Cube | 6 | 12 | 8 |
| Pyramid | 5 | 8 | 5 |
| Cylinder | 3 | 2 | 0 |
| Sphere | 1 | 0 | 0 |
Try this: Look around your room. Can you find a cube? Count its faces, edges and vertices. What about a pyramid? A cylinder?
Try it as a mini adventure
Adventure: The Shape Detective
You are a shape detective on a mission to find 3D shapes in your house!
- First time: Find a cube. Count its faces, edges and vertices.
- Second time: Find a pyramid. Count its faces, edges and vertices.
- Third time: Find a cylinder. Count its faces, edges and vertices.
- Fourth time: Find a sphere. Count its faces, edges and vertices.
- Fifth time: Draw your findings in your maths book.
Can you find 3D shapes in the garden or outside? What about a football (sphere), a Toblerone chocolate box (pyramid), or a soup can (cylinder)?
Common mistakes
- Mistake: Thinking a cylinder has 0 vertices because it has no corners.
Why it happens: Children often think that a vertex must be a sharp corner, but a vertex is any point where edges meet.
Fix: Remember that a cylinder has 2 edges where the curved surface meets the flat circles, and 2 edges meet at each circle. So it has 2 edges and 0 vertices.
- Mistake: Confusing faces and edges.
Why it happens: The words sound similar and both are parts of shapes.
Fix: Faces are flat surfaces you can touch. Edges are the lines where faces meet.
- Mistake: Counting vertices as corners only.
Why it happens: Children often think only sharp corners count as vertices.
Fix: A vertex is any point where edges meet, including curved surfaces where edges meet.
Parent and carer guide
Help your child understand 3D shapes by:
- Using everyday objects like boxes, cans, and balls to show different shapes
- Playing the shape detective game together
- Building with blocks or drawing 3D shapes
- Counting faces, edges, and vertices together
- Asking questions like "How many faces does this shape have?"
- Not worrying if they make mistakes - they're learning!
- Encouraging them to find shapes in their environment
- Using simple vocabulary and clear examples
- Reinforcing that 3D shapes are all around us
- Being patient and celebrating small successes
Practice questions
- How many faces does a cube have?
Answer: 6
- How many edges does a pyramid have?
Answer: 8
- How many vertices does a sphere have?
Answer: 0
- How many faces does a cylinder have?
Answer: 3
- How many edges does a cube have?
Answer: 12
- How many vertices does a pyramid have?
Answer: 5
- What shape has 6 faces, 12 edges and 8 vertices?
Answer: Cube
- What shape has 5 faces, 8 edges and 5 vertices?
Answer: Pyramid
- What shape has 1 face, 0 edges and 0 vertices?
Answer: Sphere
- What shape has 3 faces, 2 edges and 0 vertices?
Answer: Cylinder
FAQ
What is the difference between a face and an edge?
A face is a flat surface of a 3D shape, while an edge is a line where two faces meet.
Do all 3D shapes have vertices?
No, some shapes like spheres and cylinders don't have any vertices because they have curved surfaces with no corners.
How many faces does a triangular prism have?
A triangular prism has 5 faces: 2 triangular faces and 3 rectangular faces.
Can a shape have no edges?
Yes, shapes like spheres and cylinders have no edges because they have curved surfaces with no straight lines.
Why do we need to know about faces, edges and vertices?
Understanding these parts helps us describe and build 3D shapes, which is useful in art, design, construction, and even in playing games with blocks or building toys.