Advertisements
Advertisements
प्रश्न
A solid has forty faces and sixty edges. Find the number of vertices of the solid.
Advertisements
उत्तर
By using Euler’s formula for polyhedron
F + V – E = 2
Given, Faces (F) = 40, Edges (E) = 60
⇒ 40 + V – 60 = 2
⇒ V – 20 = 2
⇒ V = 2 + 20 = 22
Hence, the vertices of the solid are 22.
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 ______.
Euler’s formula is true for all three-dimensional shapes.
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 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 |
Using Euler’s formula, find the value of unknown q in the following table.
| Faces | 6 |
| Vertices | q |
| Edges | 12 |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
