Advertisements
Advertisements
प्रश्न
Euler’s formula is true for all three-dimensional shapes.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
Euler’s formula is true only for polyhedrons,
i.e. F + V – E = 2
Where F = Faces, V = Vertices
And E = Edges
APPEARS IN
संबंधित प्रश्न
Using Euler’s formula, find V if E = 30, F = 12.
In a solid if F = V = 5, then the number of edges in this shape is ______.
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Using Euler’s formula, find the value of unknown p in the following table.
Faces | p |
Vertices | 6 |
Edges | 12 |
Using Euler’s formula, find the value of unknown r in the following table.
Faces | 8 |
Vertices | 11 |
Edges | r |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
A polyhedron has 60 edges and 40 vertices. Find the number of its faces.
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.