Question

Como Calcular o volume da pirâmide com base hexagonal abaixo

Answer 1

$\boxed{\begin{array}{l}\underline{\rm C\acute alculo\,da\,\acute area\,da\,base\,B\!:}\\\sf B=\dfrac{3l^2\sqrt{3}}{2}\\\\\sf B=\dfrac{3\cdot8^2\sqrt{3}}{2}\\\\\sf B=\dfrac{3\cdot\diagdown\!\!\!\!\!\!64\sqrt{3}}{\diagdown\!\!\!\!2}\\\\\sf B=3\cdot32\sqrt{3}\\\sf B=96\sqrt{3}\,cm^2\\\underline{\rm C\acute alculo\,do\,volume\,V\!:}\\\sf V=\dfrac{1}{3}\cdot B\cdot H\\\\\sf V=\dfrac{1}{\diagdown\!\!\!\!3}\cdot \diagdown\!\!\!\!\!\!96\sqrt{3}\cdot 4\\\\\sf V=32\sqrt{3}\cdot4\\\sf V=128\sqrt{3}\,cm^3\end{array}}$