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How can we find faces with the help of vertices and edges?
Aliinpower
Not so! The relationship was actually found by Leonhard Euler, who lived in the 18th Century!
Plus, your spellings leave something to be desired:
Vertices (not vertics)
Icosahedron (not icosahydron).
Wiki User
∙ 11y ago
Wiki User
∙ 11y agoIf the solid is a simply connected polyhedron then, by the Euler characteristics,
E = F + V - 2
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How many edges does a gemstone with 10 faces and 12 vertices have?
Euler can help you answer this question. Euler's formula says number of faces plus number of vertices minus the number of edges equal 2. In symbols we write F+V-E=2. So in this case we have 10+12-E=2 So E=20 and there are twenty edges.
What shape has 9 faces 9 vertices 16 edges?
All shapes that are 3-dimensional and closed are called polyhedrons. Polyhedron in greek decomposes into 'many faces.' The naming convention is to append -'hedron' to a greek prefix denoting the number of faces. Therefore any shape with nine faces will be a nonahedron.In order to factor in the faces and edges systematically would require graph theory, because they depend on what shape each of the faces is and the organization of the arrangement.Assuming:you don't want to learn graph theory, andthe polyhedron has a realitively simple geometryGoogle can help. Googling 'nonahedron' yields, among others, a polyhedron called an elongated square pyramid, which can be constructed by placing a square pyramid atop a cube (think of a house, where the roof comes to a single point). The square pyramid has 5 sides, the cube has 6, however one of each is removed when they are joined so the shape is a nonahedron(5+6-2=9). Similarly, the square pyramid has 5 vertices/8 edges and the cube has 8 vertices/12 edges with 4 edges/4 vertices shared; therefore the composite shape has 9 vertices (5+8-4=9) and 16 edges (12+8-4=16).* * * * *All that is very interesting but avoids giving the simple answer which is an octagon based pyramid.
What shape has two edges and no vertices?
Any time we connect two edges we create a vertex. The only way a shape can have two edges and no vertices is if the edges are disconnected. For example, two parallel lines is two edges and no vertices. If you are thinking of polygons, we need at least 3 edges and they must be connected. So the answer to your question is really there is not shape that fits this description if we restrict ourselves to planar closed figures. The above is true for polyhedra. However, a cylinder meets the requirements if we consider the case where an edge is defined in such a way that a cylinder has two of them. The word "if" is there because sometimes, an edge is required to be straight. In that case a cylinder has none. However, many texts are not precise about how they define and edge and in this case we have no definition at all. So it is important to point out that the answer is a cylinder or nothing depending on your edge definition. If we use the definition of an edge as boundary between smooth surfaces making up an object, then a cylinder has two edges. There are similar issues with the term vertex and how it is used in general language, in toplogy and in graph theory. For this question, I think a good answer is a cylinder is the edges and vertex are appropriately defined. The link will help with more details for those interested.
What is the formula for finding the surface area of a triangular prism?
find the area of all the faces then add them all up. this is how you get surface area and there isn't any formula for it
What is another name for the corner of a shape?
The corner on a shape where edges meet is called a vertex.
How many faces edges and vertices does a triangular prism have?
EDGES There are 9 edges on a triangular prism. VERTICES There are 6 vertices's on a triangular prism. FACES There are 5 faces on a triangular prism. --------------- An n-gonal prism has 3n edges, 2n vertices and n+2 faces.
How many edges faces and vertects does a cone have?
hi i need help on faces eges and vertices can you help me please
What are the properties of a dodecahedron star?
The dodecahedron star has 30 edges, 12 faces, and 20 vertices. But, a 3D dodecagon star has 60 edges, 24 faces, and 40 vertices but i'm not sure. Some people still need help on how many edges faces and vertices a dodecagon star has. Thanks for your cooperation by looking at this answer.
How many faces vertices and edges does a dodectrehedron have?
If the question is about a dodecahedron, it has 12 (pentagonal) faces, 20 vertices and 30 edges. If the question is about a dodectrehedron, I cannot help since I have never heard of such an object.
If you know the numbers of faces and vertices in a polyhedron how can you calculate the number of edges with out counting them?
the is a pattern example a rectangular prism has 6 faces , 8 vertices and 12 edges. the pattern is add 2 then add 4 so to calculate you should first find the pattern or if you need more help go to www.math.com.
Is there a chart or table with list of geometric faces edges vertices of solids?
Try this one. It has a little one that may help. intermath.coe.uga.edu/tweb/gcsu.../Faces%20edges%20and%20vertices.doc -
How many edges does a gemstone with 10 faces and 12 vertices have?
Euler can help you answer this question. Euler's formula says number of faces plus number of vertices minus the number of edges equal 2. In symbols we write F+V-E=2. So in this case we have 10+12-E=2 So E=20 and there are twenty edges.
How many edges does a pentagonal prisim have?
There are five vertices on a pentahedron. The word penta means five which is based on the 5 edges and 5 diagonal faces that it has. * * * * * Apart from the fact that penta means five, the rest of the answer is utter nonsense. Typical of answers from "The Community", I am afraid. 5 vertices 5 faces 8 edges
How many faces vertices and edges does a 7 sided pyramid have?
6 faced more or less.. !! Counting faces and one of the bottom = 7 .!! See yaa kisees . ;D hope my ansewer help u a lot.!
What shape has 9 faces 9 vertices 16 edges?
All shapes that are 3-dimensional and closed are called polyhedrons. Polyhedron in greek decomposes into 'many faces.' The naming convention is to append -'hedron' to a greek prefix denoting the number of faces. Therefore any shape with nine faces will be a nonahedron.In order to factor in the faces and edges systematically would require graph theory, because they depend on what shape each of the faces is and the organization of the arrangement.Assuming:you don't want to learn graph theory, andthe polyhedron has a realitively simple geometryGoogle can help. Googling 'nonahedron' yields, among others, a polyhedron called an elongated square pyramid, which can be constructed by placing a square pyramid atop a cube (think of a house, where the roof comes to a single point). The square pyramid has 5 sides, the cube has 6, however one of each is removed when they are joined so the shape is a nonahedron(5+6-2=9). Similarly, the square pyramid has 5 vertices/8 edges and the cube has 8 vertices/12 edges with 4 edges/4 vertices shared; therefore the composite shape has 9 vertices (5+8-4=9) and 16 edges (12+8-4=16).* * * * *All that is very interesting but avoids giving the simple answer which is an octagon based pyramid.
Why is knowing the amount of edges and vertices help you make a 3 dimensional figure?
Using the Euler cahracteristic, these two items of information uniquely determine the number of faces for a simply connected polyhedron. That might help you make a three dimensional figure but you will need to be practised to recognise patterns in these numbers.
What solid figure has eight vertices?
The solid figure having eight vertices is the hexahedron. A cube, which has six faces (classifying it as a hexahedron) as well as the eight vertices, is a regular hexahedron. It is doubtless the best example of this category of geometric shapes. A link can be found below for more information, and some drawings to really help lock in the idea.
