Anyone knows?

Question

ANYONE KNOWS ALL THREE- DIMENSIONAL FIGURES NAMING THE NUMBER AND SHAPES OF THE FACES, EDGES AND VERTICES? I BELIEVE THERES 9 OF THEM

THANKS

Answer 1

There are an infinite number of three-dimensional figures. Perhaps you had the five Platonic solids in mind. All the faces of a Platonic solid are identical regular polygons and all the angles at the edges are the same.

The five Platonic solids are:

Tetrahedron has 4 faces that are identical equilateral triangles
Cube has 6 faces that are identical squares
Octahedron has 8 faces that are identical equilateral triangles
Dodecahedron has 12 faces that are identical regular pentagons
Icosahedron has 20 faces that are identical equilateral triangles

Answer 2

You are probably referring to the the Platonic solids. These are the ones that have congruent faces of regular polygons. There are five of them (not too hard to prove). They are named (mostly) by the number of faces.

The easy one you know is the cube: 6 faces of squares. You can count the edges and vertices easily.

Move down to triangle faces and there are three different ones: tetrahedran (4 equilateral triangles), octahedron (8 equilateral triangles), and the icosahedron (20 equilateral triangles).

Moving up to pentagon, there is one: dodecahedron with 12 equilateral pentagons.

That's it. You can't get a hexagon (can you see why?).

If you go to the web and look up platonic solids you can find some nice pictures and the beautiful relationship between the number of vertices, edges, and faces.

Answer 3

There are infinitely many three-dimensional figures with only triangular faces, so I think you must have forgotten to tell us about a further restriction.

Answer 4

There are a lot more than nine!

You have prisms and pyramids with various shaped bases. Bases include trapezoid, circle, square, rectangle, triangles, etc

You also have dodecahedrons and the like!

Answer 5

Well, if you say anyone knows, then wouldnt anyone include yourself?