Advertisements
Advertisements
Question
Verify Euler’s formula for the table given below.
| Faces | Vertices | Edges |
| 20 | 13 | 30 |
Advertisements
Solution
Euler’s formula is given by F + V – E = 2
F = 20, V = 13, E = 30
F + V – E = 20 + 13 – 30 = 33 – 30 = 3 ≠ 2
∴ Euler’s formula is not satisfied.
APPEARS IN
RELATED QUESTIONS
Using Euler’s formula, find the unknown.
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Can a polyhedron have for its face 4 triangles?
Can a polyhedron have for its face a square and four triangles?
The figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:
A rectangle
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 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| 8 | ? | 10 |
How many vertices does the following solid have?
Tetrahedron
Total number of edges a cylinder has ______.
How many faces does figure have?
