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Platonic Solids

Identify the names, nets and features of the five regular polyhedra.

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This is level 6: discover euler's formula.

1

Polyhedron

Add the number of faces and vertices then subtract the number of edges.

2

Polyhedron

Sum the faces and vertices, then subtract the edges.

3

Polyhedron

Combine the number of faces and vertices, followed by subtracting the edges.

4

Polyhedron

First add the faces and vertices, then subtract the edges.

5

Polyhedron

Total the faces and vertices, and then reduce that by the number of edges,

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This is Platonic Solids level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

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Description of Levels

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Level 1 - Name the five platonic solids (regular polyhedra)

Level 2 - Match the nets to the shapes

Level 3 - Count the number of faces on each solid

Level 4 - Count the number of vertices on each solid

Level 5 - Count the number of edges on each solid

Level 6 - Discover Euler's Formula

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

The diagrams of the polyhedra are licensed by Kjell André under the Creative Commons Attribution-Share Alike 3.0 Unported license.

Glossary of Terms

Polyhedron (plural: Polyhedra)

A three-dimensional solid shape with flat polygonal faces, straight edges, and sharp vertices.

Platonic Solid

A special type of polyhedron where all faces are identical regular polygons, all vertices have the same number of faces meeting, and all edges are the same length. There are five types: Tetrahedron, Cube, Octahedron, Dodecahedron, and Icosahedron.

Net

A two-dimensional layout of the faces of a polyhedron, arranged so that when folded along the edges, it forms the corresponding 3D shape.

Face

The flat surface of a polyhedron, typically a polygon, that forms one of its sides.

Vertex (plural: Vertices)

The point where two or more edges of a polyhedron meet.

Edge

The straight line where two faces of a polyhedron meet, connecting two vertices.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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