Transum Software

Faces, Edges and Vertices

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

Menu Level 1 Level 2 Level 3 Help More

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?

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.

	You are learning this because future ideas are built on previous ideas and the more ideas you learn the more power you have to learn anything, ever! The world's best football player engages in rigorous training, practicing skills repeatedly to prepare for the big game. While the specific actions rehearsed during these exercises are rarely needed in the match, the very process of performing these drills enhances their overall prowess as a top player. more...	More Activities: Maths Map Go Maths Games Puzzles Times Tables TablesMaster iPad Maths Investigations Exam Questions
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" Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"		Whose Idea Was This? Did you enjoy doing this 'Faces, Edges and Vertices' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept.
Featured Activity Maths Mind Reader This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.	Answers There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe
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. Maths Map 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:	Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.	It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B!
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For Teachers:

For All:

Transum.org is a proud supporter of the kidSAFE Seal Program

©1997-2024 WWW.TRANSUM.ORG

Description of Levels

Close

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.

Close