This video looks at prisms, it starts with showing how a prism is made by looking at its net, and then looks at the faces, edges and vertices of a prism.

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Examples

Example 2

Here is a rectangular prism.

How many faces does it have?

Worked Solution

Create a strategy

Faces are the flat sides of a solid.

Apply the idea

It has 6 faces.

How many vertices does it have?

Worked Solution

Create a strategy

Vertices are the corners where edges meet.

Apply the idea

It has 8 vertices.

How many edges does it have?

Worked Solution

Create a strategy

An edge is the line where two faces meet.

Apply the idea

It has 12 edges.

Idea summary

A prism can be made with any polygon at its base.

Pyramids

This video looks at pyramids, it starts with showing how a pyramid is made by looking at its net, and then looks at the faces, edges and vertices of a pyramid.

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Examples

Example 3

Here is a square pyramid:

How many faces does it have?

Worked Solution

Create a strategy

Faces are the flat sides of a solid object.

Apply the idea

It has 5 faces: the 4 triangles and the 1 square base.

How many vertices does it have?

Worked Solution

Create a strategy

Vertices are the corners where two edges meet.

Apply the idea

It has 5 vertices.

How many edges does it have?

Worked Solution

Create a strategy

An edge is where two faces meet.

Apply the idea

It has 8 edges.

Idea summary

Pyramids can have different bases, and the name of the base tells us the name of the pyramid.

Cones, spheres, and cylinders

This video looks at cones, spheres, and cylinders. All these shapes have curved surfaces. Let's see how we can tell which one is which.

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Examples

Example 4

Here is a cone.

How many curved surfaces does it have?

Worked Solution

Create a strategy

A curved surface is a surface that is not flat.

Apply the idea

There is 1 curved surface that wraps around the circle at base and goes up to the vertex at the top.

How many vertices does it have?

Worked Solution

Create a strategy

In a cone, the vertex is the top point.

Apply the idea

It has 1 vertex.

How many edges does it have?

Worked Solution

Create a strategy

An edge is a straight line segment where two faces meet.

Apply the idea

It has 1 curved edge around the circle.

Idea summary

Cones, spheres and cylinders all have curved faces.

10.04 3D shapes

Ideas

Are you ready?

Examples

Example 1

Prisms

Examples

Example 2

Pyramids

Examples

Example 3

Cones, spheres, and cylinders

Examples

Example 4

What is Mathspace

About Mathspace