verify the euler's formula for a triangular pyramid
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Answer. Recall the Euler's formula, F + V = E + 2 Here number of faces, F = 5 Number of vertices, V = 6 Number of edges, E = 9 Consider, F+V = 5 + 6 = 11 E + 2 = 9 + 2 = 11Hence F + V = E + 2 Thus Euler's formula is verified.
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A triangular pyramid has 4 faces, 4 vertices and 6 edges.
Faces = 4
Vertices = 4
Edges = 6
F + V = E + 2
F + V - E = 2
⇒ 4 + 4 - 6 = 2
⇒ 8 - 6 = 2
⇒ 2 = 2
L.H.S. = R.H.S.
Thus, The Euler's Formula is verified for a Triangular Pyramid.
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