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 Answer :
2F + 3V − 2E = 10
Solution :
The correct option is 2F + 3V − 2E = 10.
Let us identify the number of faces, vertices, and edges for a triangular prism:
A triangular prism consists of 2 triangular bases and 3 rectangular lateral faces.
Number of faces (F) = 5
Number of vertices (V) = 6
Number of edges (E) = 9
Now, let us substitute the values of F, V, and E into the equation 2F + 3V − 2E:
Since the left-hand side equals 10, the statement 2F + 3V − 2E = 10 is true.
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