Advertisements
Advertisements
प्रश्न
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Advertisements
उत्तर
In the given figure, we have
Faces (F) = 3, Vertices (V) = 0 and Edges (E) = 2
On putting these values in Euler’s formula, we get
F + V – E = 2
⇒ 3 + 0 – 2 = 2
⇒ 1 ≠ 2
Hence, these values do not satisfy the Euler’s formula. So, it is not a polyhedra.
APPEARS IN
संबंधित प्रश्न
If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.
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.
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 |
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
A solid has forty faces and sixty edges. Find the number of vertices of the solid.
