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प्रश्न
Complete the table given below:
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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उत्तर
By using Euler’s formula for polyhedron,
S.No | Solid | Shape of Solid |
Number of faces F |
Number of Verticles V |
Number of edges E |
F + V | E + 2 |
a. | Cuboid | ![]() |
6 | 8 | 12 | 6 + 8 = 14 | 12 + 2 = 14 |
b. | Triangular Pyramid |
![]() |
4 | 4 | 6 | 4 + 4 = 8 | 6 + 2 = 8 |
c. | Square Pyramid |
![]() |
5 | 5 | 8 | 5 + 5 = 10 | 8 + 2 = 10 |
d. | Rectangular Pyramid |
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5 | 5 | 8 | 5 + 5 = 10 | 8 + 2 = 10 |
e. | Pentagonal Pyramid |
![]() |
6 | 6 | 10 | 6 + 6 = 12 | 10 + 2 = 12 |
f. | Hexagonal Pyramid |
![]() |
7 | 7 | 12 | 7 + 7 = 14 | 12 + 2 = 14 |
g. | Triangular Prism |
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5 | 6 | 9 | 5 + 6 = 11 | 9 + 2 = 11 |
h. | Square Prism |
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6 | 8 | 12 | 6 + 8 = 14 | 12 + 2 = 14 |
i. | Cube | ![]() |
6 | 8 | 12 | 6 + 8 = 14 | 12 + 2 = 14 |
j. | Pentagonal Prism |
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7 | 10 | 15 | 7 + 10 = 17 | 15 + 2 = 17 |
k. | Octagonal Prism |
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10 | 16 | 24 | 10 + 16 = 26 | 24 + 2 = 26 |
l. | Heptagonal Prism |
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9 | 14 | 21 | 9 + 14 = 23 | 21 + 2 = 23 |
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