Advertisements
Advertisements
Question
Verify Euler’s formula for the table given below.
| Faces | Verticles | Edges |
| 10 | 6 | 12 |
Advertisements
Solution
Euler’s formula is given by F + V – E = 2
F = 10, V = 6, E = 12
F + V – E = 10 + 6 – 12 = 16 – 12 = 4 ≠ 2
∴ Euler’s formula is not satisfied.
APPEARS IN
RELATED QUESTIONS
Verify Euler’s formula for given solids
Name the polyhedron that can be made by folding net:
Draw net 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
Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.
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.
The following figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:
How many vertices does the following solid have?
Cone
How many vertices does the following solid have?
Hexagonal Prism
A solid that has only one vertex is ______.
