If F, V and E are respectively the number of faces, vertices and edges of a triangular prism then which of the following statements is true?

Correct option is C

(a) 2F+4V-3E=8:
This statement is not true. For a triangular prism, the relationship between faces (F), vertices (V), and edges (E) is given by Euler's formula: F + V - E = 2.
(b) 3F+2V-2E=11:
This statement is also not true. Using Euler's formula, we can rewrite the given equation as F + V - E = 5. This doesn't match the expected relationship for a triangular prism.
(c) 2F+3V-2E=10:
This statement is true. Substituting the values for a triangular prism (F = 5, V = 6, E = 9) into Euler's formula, we get: 5 + 6 - 9 = 2. This matches the expected relationship.
(d) 4F+2V-3E=6:
This statement is not true. Substituting the values for a triangular prism into Euler's formula, we get: 4(5) + 2(6) - 3(9) = 30. This doesn't match the expected relationship.
Therefore, the correct statement about the relationship between faces, vertices, and edges of a triangular prism is: 2F+3V-2E=10.