Polyhedrons prisms and pyramids
An overview of the properties of polyhedrons, prisms and pyramids
Published on: Mar 4, 2016
Transcripts - Polyhedrons prisms and pyramids
Let’s go to the ballet
0 See if you can accurately name all the shapes
0 To understand the differences between platonic
solids, prisms and pyramids
0 To examine the properties of polyhedrons
0 To develop your own NET shapes using 3D shapes
0 Poly = Greek for many
0 Hedron = Greek for face
0 Polyhedron = Many Faces!!
0 Names for 2D figures and 3D objects often get
confused because the beginning of names are
0 Dodecagon = 12 sided 2D shape
0 Dodecahedron = 3D 12 sided regular pentagon
3D Shape Properties
0 Plato, a Greek philosopher and
0 Worked out that some polyhedrons are identical in
shape and size.
0 Edges = Same length
0 Angles = Same size
0 Vertices = Identical
What does that mean?
Platonic Polyhedrons are
0 All vertices are surrounded by the same plane shape.
0 Any face can be the base.
0 They are beautifully symmetrical.
0 Only five of them exist!
3 4 6
3 8 12
4 6 12
3 20 30
5 12 30
Pyramids & Prisms
0 Prisms have two identical, parallel faces joined to one
another by rectangles. Examples are;
Pyramids & Prisms
0 Pyramids have one face with at least 3 edges, the faces
meeting these edges are ALL triangles.
0 NOTE: Pyramids get their name from the shape of their
0 There are many more pyramids than these ones shown
Other 3D shapes
0 You will be given some examples of 3D shapes
0 Name the shapes you have been given
0 With your elbow partner, use the graph paper
provided to draw a NET of the shapes you have been
0 Cut out the Nets you have drawn and see if they can
be made into the original 3D shapes (you might want
to leave a lip on some sides so you can glue it
0 Did you get it right? If not, what do you need to
change to make it correct?