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प्रश्न
Using Euler’s formula, find V if E = 30, F = 12.
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उत्तर
E = 30, F = 12
Euler’s formula:
F + V = E + 2
∴ 12 + V = 30 + 2
∴ 12 + V = 32
∴ V = 32 – 12 = 20
संबंधित प्रश्न
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| Faces | Vertices | Edges | |
| (i) | x | 15 | 20 |
| (ii) | 6 | y | 8 |
| (iii) | 14 | 26 | z |
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| S.No | Solid | Shape of Solid |
Number of faces F |
Number of Verticles V |
Number of edges E |
F + V | E + 2 |
| a. | Cuboid |  |
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| b. | Triangular Pyramid |
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| c. | Square Pyramid |
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| d. | Rectangular Pyramid |
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| e. | Pentagonal Pyramid |
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| f. | Hexagonal Pyramid |
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| g. | Triangular Prism |
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| h. | Square Prism |
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| i. | Cube |  |
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| j. | Pentagonal Prism |
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| k. | Octagonal Prism |
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| l. | Heptagonal Prism |
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Using Euler’s formula, find the value of unknown z in the following table.
| Faces | 9 |
| Vertices | z |
| Edges | 16 |
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| Faces | p |
| Vertices | 6 |
| Edges | 12 |
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| Faces | 8 |
| Vertices | 11 |
| Edges | r |
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