Vertices, Edges, and Faces

Have you ever been given a gift box or party hat? 🎁

They're all 3D shapes.

3D shapes are made up of **vertices**, **edges**, and **faces**!

**Vertices** are the pointy bits or the **corners **where edges meet.

**Edges** are the lines around a shape.

**Faces** are the **flat sides **that you touch when you hold a shape.

Let's look at how many vertices, edges, and faces different 3D shapes have. 👇

**Cubes **have **6 square faces**.

If you glue 6 square faces together, they becomes a **cube **with** 8 vertices and 12 edges.**

Here's a rectangular shaped gift box:

It's made up of **6 rectangular faces**.

When you join the sides together, it becomes a **rectangular prism **with** 8 vertices **and** 12 edges.**

**Tip:** All **cubes **are **rectangular prisms,** but not all rectangular prisms are cubes.

It's kind of like how all squares are rectangles, but not all rectangles are squares.

Here's a triangular shaped gift box:

It's made up of **5 faces** (2 are triangles, 3 are rectangles).

**Triangular prisms **have** 6 vertices **and** 9 edges**! Can you count them?

Pyramids are made up of **5 faces** (4 are triangles, 1 is a square).

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

Cylinders has **2 circular faces **and **1 surface**.

**Curved **surfaces doesn't count as faces. Faces are **flat**.

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

There are no sharp, pointy bits in a cylinder!

Cones like this party hat are 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**.

Spheres have **0 faces**, **0 edges** and** 0 vertices**.

How would you gift wrap a sphere? It's tough without crumpling paper.

Great job! Now, you know all about vertices, faces, and edges!

Try the practice questions next.

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