Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the value of unknown x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
उत्तर
By using Euler's formula for polyhedron
From, F = 7, V = 10 and E = x
So, F + V – E = 2
⇒ 7 + 10 – x = 2
⇒ 17 – x = 2
⇒ 17 – 2 = x
⇒ x = 15
APPEARS IN
संबंधित प्रश्न
Using Euler's formula, find the values of x, y, z.
| Faces | Vertices | Edges | |
| (i) | x | 15 | 20 |
| (ii) | 6 | y | 8 |
| (iii) | 14 | 26 | z |
Which of the following cannot be true for a polyhedron?
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.
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 |
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.
