Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the value of unknown z in the following table.
| Faces | 9 |
| Vertices | z |
| Edges | 16 |
Advertisements
उत्तर
By using Euler’s formula for polyhedron
From, F = 9, E = 16 and V = z
So, F + V – E = 2
⇒ 9 + z – 16 = 2
⇒ z – 7 = 2
⇒ z = 2 + 7
⇒ z = 9
APPEARS IN
संबंधित प्रश्न
Using Euler’s formula, find V if E = 30, F = 12.
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 x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
Using Euler’s formula, find the value of unknown r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
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.
