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प्रश्न
Euler’s formula is true for all three-dimensional shapes.
विकल्प
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 the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape 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 y in the following table.
| Faces | y |
| Vertices | 12 |
| Edges | 18 |
Using Euler’s formula, find the value of unknown z in the following table.
| Faces | 9 |
| Vertices | z |
| Edges | 16 |
Using Euler’s formula, find the value of unknown p in the following table.
| Faces | p |
| Vertices | 6 |
| Edges | 12 |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
A solid has forty faces and sixty edges. Find the number of vertices of the solid.
