It's an Octohedron, which has 8 triangular faces. Think of one of the great pyramids in Egypt, with a square base and four triangular sides. Take two of these, turn one upside down, and glue them together along the square base. You wind up with 8 triangular faces, and 12 edges!
Oh, dude, it's like a math riddle! So, if a polyhedron has 10 more edges than vertices, we can use Euler's formula: Faces + Vertices - Edges = 2. Since we know the relationship between edges and vertices, we can substitute that in and solve for faces. So, it would have 22 faces. Math can be fun... sometimes.
12 vertices A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
By Euler's formula the number of faces (F), vertices (V), and edges (E) of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.
eighthedron eighthedron
A cube or a cuboid would fit the given description of 12 edges and 6 faces.
A polyhedron has 30 edges and 12 vertices. How many faces does it have
dodecahedron * * * * * A dodecahedron has 12 FACES, not 12 edges!
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
A polyhedron with 12 faces.
An icosahedron has 20 triangular-shaped faces.
Well, isn't that just delightful! It sounds like A is a special kind of shape called a polyhedron. You see, in a polyhedron, each edge connects two faces together. So if A has twice as many edges as faces, it must be a very harmonious shape with a lovely balance between its edges and faces.
It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
eight
A triangular prism has 9 edges and 5 faces. It also has 6 vertices. A cube has 6 faces and 12 edges.
An icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five platonic solids.
It has 6 vertices.
12