verify Euler's forumula for, faces=12,vertices=20 and edges =30
Answers
Step-by-step explanation:
Euler's formula is No.of Faces(F) + No. of vertices(V) - No. of edges(E) = 2
That is: F + V - E = 2
In this case, substituting the values:
LHS : 12 + 20 - 30 => 32 - 30 = 2 = RHS
Since LHS = RHS, it is valid
Hence Proved.
Answer:
Step-by-step explanation:
Euler's formula is given by
Euler's formula is satisfied.
Euler's formula:
One of Leonhard Euler's two key mathematical theorems is the formula. The first equation, often known as the Euler identity and utilised in trigonometry, reads: eix = cos x + isin x, where e is the base of the natural logarithm and I is the square root of 1. (see imaginary number). The formula produces two beautiful formulations that relate x, e, and I ei = 1 and e2i = 1, respectively, when x equals 0 or 2. The second is a topological invariance (see topology) that links the quantity of faces, vertices, and edges in any polyhedron. It is also known as the Euler polyhedra formula. F is the number of faces, V is the number of vertices, and E is the number of edges. This equation is represented as F + V = E + 2.
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