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प्रश्न
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
उत्तर
In the given figure, we have
Faces (F) = 8, Vertices (V) = 6 and Edges (E) = 12
On putting these values in Euler's formula, we get
F + V – E = 2
⇒ 8 + 6 – 12 = 2
⇒ 14 – 12 = 2
⇒ 2 = 2
Hence, these values satisfies the Euler's formula. So, it is a polyhedra.
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संबंधित प्रश्न
In a solid if F = V = 5, then the number of edges in this shape is ______.
Which of the following cannot be true for a polyhedron?
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Euler’s formula is true for all three-dimensional shapes.
A polyhedron can have 10 faces, 20 edges and 15 vertices.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
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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 r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
A solid has forty faces and sixty edges. Find the number of vertices of the solid.
