Group Task - investigating properties of pyramids and prisms
Some great observations were made by my students. Quiet a few patterns were found:
For Pyramids
- the number of faces and no. of vertices increase by 1 each time
- the no. of edges increase by 2 each time
For Prisms
- the no. of faces increase by 1 each time
- the no. of vertices increase by 2 and the no. of edges increase by 3 each time
- the number of faces = number of sides of shape + 2
- the number of vertices = number of sides of shape x 2
- the number of edges = number of sides of shape x 3
They also discovered Euler's Formula!
Euler's Formula - The number of faces + the number of faces minus the number of edges always equals 2. This holds true for either pyramids or prisms.
F + V - E = 2