4) Verify Euler's formula for a triangular prism.
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Mathematicians have derived Euler's formula for these and similar shapes. It states that for a polyhedron the number of faces plus the number of vertices minus the number of edges is always two. For atriangular prism, this formula holds true: (5 + 6 - 9 = 2).
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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 = 11
Hence F + V = E + 2
Thus Euler's formula is verified.!!
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