Teacher resources and professional development across the curriculum
Teacher professional development and classroom resources across the curriculum
In this lesson on three-dimensional solids, you've seen a lot of polyhedra. But there are five special polyhedra — known collectively as the Platonic solids — that are different from all the others.
What makes the Platonic solids special? Well, two things, actually.
No other polyhedra satisfy both of these conditions. Consider a pentagonal prism. It satisfies the second condition because three faces meet at each vertex, but it violates the first condition because the faces are not identical — some are pentagons and some are rectangles.
Print out the foldable shapes to help you fill in the table below by entering the number of faces (F), vertices (V), and edges (E) for each polyhedron. Then, take your examination a step farther by selecting the shape of each polyhedron's faces. As a final step, calculate the number of faces that meet at each vortex of the given polyhedron. Start at blinking cursor in the yellow box and hit the enter key after each answer is inputted. Feedback will be given immediately. As in the other activities, if your calculation is wrong, your answer will appear in red and you will be given two hints and two more chances before the correct answer is displayed.
Depending on the speed of your computer and internet connection, there may be a wait time of a few seconds before error messages appear.