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snow_lady [41]
3 years ago
12

A polyhedron has 7 faces and 10 vertices. How many edges does it have

Mathematics
1 answer:
Serjik [45]3 years ago
5 0
EULER'S \: \: \: FORMULA \: - \\ \\ \\ For \: any \: convex \: polyhedron \: , \: the \: \\ number \: of \: vertices \: and \: faces \: \\ together \: is \: exactly \: two \: more \: than \\ \: the \: number \: of \: edges. \: \\ \\ Symbolically \: , \\ V-E+F=2 \\ \\ Here \: , \: F=7 \: \: and \: \: V=10 \\ \\ We've \: \: to \: \: find \: \: E \\  Using \: \: Euler's \: \: Formula \: \: , \\ \\ 10 - E + 7 = 2 \\ \\ \\ E \: = \: 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Ans.
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