Transum Software

Faces, Edges and Vertices

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

Level 1 Level 2 Level 3 Description Help More 3D Shapes

This is level 3; Applying Euler's Formula. You can earn a trophy if you get at least seven questions correct.

One of Euler's Formulas applies to any polyhedron that does not intersect itself. If the number of faces is F, the number of vertices is V and the number of edges is E then:

F + V - E = 2

How many edges does a solid shape have if it has six faces and eight vertices? Correct Wrong
How many edges does a solid shape have if it has four faces and four vertices? Correct Wrong
How many faces does a solid shape have if it has six vertices and twelve edges? Correct Wrong
How many faces does a solid shape have if it has thirty edges and twenty vertices? Correct Wrong
How many vertices does a solid shape have if it has twenty faces and thirty edges? Correct Wrong
A polyhedron has five more edges than vertices. How many faces does it have? Correct Wrong
A polyhedron has twelve more edges than faces. How many vertices does it have? Correct Wrong
How many faces does the polyhedron have that has the same number of faces as vertices and two more edges than vertices? Correct Wrong
A polyhedron has 58 edges and it has the same number of faces as vertices. How many faces does it have? Correct Wrong
A polyhedron has 48 edges and it has the same number of faces as vertices. How many faces does it have? Correct Wrong
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This is Faces, Edges and Vertices level 3. You can also try:
Level 1 Level 2

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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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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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.

Nets of 3D Shapes

Nets

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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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