# Count faces, edges and vertices on 3D shapes

## Learning focus

Learn about the faces, edges and vertices of 3D shapes.

This lesson includes:

• a catch-up quiz
• two videos
• one activity

# Quiz

To get started, let's see how well you know this topic already. Take the catch-up quiz below to find out.

# Learn

To start, watch this video from KS1 Maths that explores the difference between 2D and 3D shapes.

Now we know the difference between a 2D and 3D shape, let's learn about the properties of 3D shapes. Watch this video to find out.

## Properties of 3D shapes

Here are three 3D shapes. What properties do they have?

3D shapes have faces, edges and vertices (corners).

Faces - A face is a flat surface on a 3D shape. For example a cube has 6 faces.

Edges - An edge is where two faces meet. For example a cube has 12 edges.

Vertices - A vertex is a corner where edges meet. The plural is vertices. For example a cube has 8 vertices.

3D shapes have three dimensions - length, width and depth.

## Example

How many faces, edges and vertices are there on this square-based pyramid?

• Faces - It has 1 square face (on the bottom) and 4 triangle faces, so the pyramid has 5 faces in total.
• Edges - There are 8 edges. 4 round the base and 4 leading to the top of the pyramid.
• Vertices - It has 5 vertices. 1 at the top of the pyramid and 4 around the base.

Some 3D shapes have curved surfaces, like this cone and cylinder.

## Top tip

You can recognise 3D shapes in many objects around your home. Use some that you can find to help you count the faces, edges and vertices.

## Remember

A 3D shape is a solid shape with faces, vertices and edges.

# Practise

## Activity 1

3D shape hunt

Today we are going to see what 3D shapes we can find around the house.

You will need a pencil and a piece of paper.

Look around the house for objects that are 3D shapes. Draw them on your piece of paper. Can you draw and label:

• the faces
• the edges
• the vertices

# Play

Test your skills on this topic even further by playing Karate Cats Maths - see if you can collect a new costume for your cat!