Advertisements
Advertisements
प्रश्न
Verify Euler’s formula for given solids.

Advertisements
उत्तर
Number of faces = F = 9
Number of vertices = V = 9
Number of edges = E = 16
F + V − E = 9 + 9 − 16 = 18 − 16 = 2
Hence, Euler’s formula is verified.
संबंधित प्रश्न
How are prisms and cylinders alike?
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Name the polyhedron that can be made by folding net:

Draw net for the following polyhedron :

Using Euler’s formula, find the values of a, b, c and d.
| Faces | a | 5 | 20 | 6 |
| Vertices | 6 | b | 12 | d |
| Edges | 12 | 9 | c | 12 |
Dice are cubes with dots or dots on the face. Opposite faces of a die always have a total of seven on them.
In the given below net to make dice (cube), the numbers inserted in the square indicate the number of dots in it.

Insert suitable numbers in the blank so that numbers in opposite faces of the die have a total of seven dots.
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
How many faces does the following solid have?
Octagonal Pyramid
How many vertices does the following solid have?
Cylinder
A cylinder has no vertex.
