Advertisements
Advertisements
प्रश्न
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 |
Advertisements
उत्तर
| Faces | a | 5 | 20 | 6 |
| Vertices | 6 | b | 12 | d |
| Edges | 12 | 9 | c | 12 |
(i) a + 6 – 12 = 2
⇒ a = 2 – 6 + 12
= 14 – 6
= 8
(ii) b + 5 – 9 = 2
⇒ 6 = 2 + 9 – 5
= 6
(iii) 20 + 12 – c = 2
⇒32 – c = 2
⇒ c = 32 – 2
⇒ c = 30
(iv) 6 + d – 12 = 2
⇒ d – 6 = 2
⇒ d = 2 + 6
= 8
संबंधित प्रश्न
Can a polyhedron have for its faces 4 triangles?
Can a polyhedron have for its faces a square and four triangles?
The given Figure are prisms or not?
Can a polyhedron have for its face 4 triangles?
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Verify Euler's formula for the following polyhedron:
Which among the following are nets for a cube?
Name the polyhedron that can be made by folding net:
Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?
Draw net for the following polyhedron :
If a polyhedron has 10 vertices and 7 faces, find the number of edges in it.
Draw at least three different nets for making a cube.
The figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:
A square
In this case, name the object.
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.
Verify Euler’s formula for the table given below.
| Faces | Vertices | Edges |
| 32 | 60 | 90 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
How many faces does the following solid have?
Tetrahedron
Find the number of faces in the given shape:
