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प्रश्न
Euler’s formula is true for all three-dimensional shapes.
पर्याय
True
False
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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
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संबंधित प्रश्न
Verify Euler’s formula for the following three-dimensional figures:
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.
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 x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
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.
