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Faces, Edges and Vertices

Show your ability to recognise the attributes of three dimensional solid shapes with this self marking quiz.

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This is level 2; Discovering Euler's Formula. You can earn a trophy if you get at least seven questions correct.

For a cube add the number of faces to the number of vertices and subtract the number of edges.
For a triangular prism add the number of faces to the number of vertices and subtract the number of edges.
For a tetrahedron add the number of faces to the number of vertices and subtract the number of edges.
For a cuboid add the number of faces to the number of vertices and subtract the number of edges.
For a square based pyramid add the number of faces to the number of vertices and subtract the number of edges.
For a hexagonal prism add the number of faces to the number of vertices and subtract the number of edges.
For a pentagonal prism add the number of faces to the number of vertices and subtract the number of edges.
For a octahedron add the number of faces to the number of vertices and subtract the number of edges.
For a dodecahedron add the number of faces to the number of vertices and subtract the number of edges.
For a icosahedron add the number of faces to the number of vertices and subtract the number of edges.

This is Faces, Edges and Vertices level 2. You can also try:
Level 1 Level 3

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

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. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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Level 1 - Count the number of faces, edges and vertices.

Level 2 - Discovering Euler's Formula.

Level 3 - Applying Euler's Formula.

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

Leonhard Euler - Find out more about more about the person who is considered one of the greatest mathematicians of all time.

Curriculum Reference

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

Nets of 3D Shapes

Nets

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.

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