Advertisements
Advertisements
प्रश्न
Verify Euler's formula for the following polyhedron:
Advertisements
उत्तर
In the given polyhedron:
Edges E=16
Faces F=9
Vertices V=9
Now, putting these values in Euler's formula:
RHS: F+V
= 9+9
= 18
LHS: E + 2
= 16 + 2
= 18
LHS = RHS
Hence, Euler's formula is satisfied.
संबंधित प्रश्न
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Verify Euler's formula for the following polyhedron:
State, the number of faces, number of vertices and number of edges of:
(i) a pentagonal pyramid
(ii) a hexagonal prism
The figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:
A triangle
In this case, name the object.
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 |
Which of the following shapes has a vertex?
A solid figure with only 1 vertex is a ______.
Total number of faces in a pyramid which has eight edges is ______.
How many edges does the following solid have?
Kaleidoscope
