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!
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12
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.
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12