Faces, Edges and Vertices

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

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

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.

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