Question

Determine o volume de uma pirâmide

regular hexagonal de altura 35 cm e aresta

de base de 20 cm. (USE: √3 = 1,73)

Answer 1

$\Large\boxed{\begin{array}{l}\sf B\longrightarrow \acute area~da~base\\\sf a\longrightarrow aresta~da~base\\\sf h\longrightarrow altura~da~pir\hat amide\\\sf B=\dfrac{3\cdot a^2\sqrt{3}}{2}\\\sf B=\dfrac{3\cdot 20^2\cdot1,73}{2}\\\sf B=\dfrac{3\cdot400\cdot1,73}{2}\\\sf B=1038~cm^3\\\sf V=\dfrac{1}{3}\cdot B\cdot h\\\sf V=\dfrac{1}{3}\cdot1038\cdot35\\\sf V=346\cdot35\\\sf V=12110~cm^3\end{array}}$