Question

look at the following shape of a building the number of faces edges and vertices of this building faces -9, edges-16 vertices -9 explain

Answer 1

$Given \: Number \:of \: faces (F) = 9 \\</p><p>Number \:of \: Edges (E) = 16,\\Number \:of \: vertices (V) = 9$

$\underline {\blue{ By \: Euler's \: Formula : }}$

$\boxed { \pink { F + V = E + 2 }}$

$LHS = F + V \\= 9 + 9 = 18$

$RHS = E + 2 \\= 16 + 2 = 18$

Therefore.,

$F + V = E + 2$

$The \: shape \: of \: building \: is \: shows \\a \: polyhedron .$

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