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प्रश्न
Using Euler’s formula, find the unknowns.
| Faces | Verticles | Edges |
| 20 | 10 | ? |
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उत्तर
Euler’s formula is given by F + V – E = 2
F = 20, V = 10
By Euler’s formula = 20 + 10 – E = 2
30 – E = 2
E = 30 – 2
E = 28
Tabulating the required unknowns
| Faces | Verticles | Edges |
| 20 | 10 | 28 |
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संबंधित प्रश्न
Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?
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.
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 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
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How many vertices does the following solid have?
Hexagonal Prism
How many edges does the following solid have?
Kaleidoscope
How many faces does figure have?
Which 3D solid has no vertices and no edges?
