Advertisements
Advertisements
प्रश्न
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Advertisements
उत्तर
Number of faces = F = 10
Number of edges = E = 20
Number of vertices = V = 15
Any polyhedron satisfies Euler’s Formula, according to which, F + V − E = 2
For the given polygon,
F + V − E = 10 + 15 − 20 = 25 − 20 = 5 ≠ 2
Since Euler’s formula is not satisfied, such a polyhedron is not possible.
संबंधित प्रश्न
The given Figure are prisms or not?
The given Figure are prisms or not?
Can a polyhedron have for its face a square and four triangles?
Name the polyhedron that can be made by folding net:
Using Euler’s formula, find the unknowns.
| Faces | Verticles | Edges |
| 20 | 10 | ? |
How many faces does the following solid have?
Octagonal Pyramid
How many vertices does the following solid have?
Octagonal Pyramid
Find the number of faces in the given shape:
All faces of a pyramid are always ______.
A solid that has only one vertex is ______.
