Question

Calcule a área total do seguinte prisma regual hexagonal, 4cm de base e 8cm de altura.

Answer 1

$\sf A_{\sf base}=\dfrac{3\cdot4^2\sqrt{3}}{2}=24\sqrt{3}~cm^2\\\sf A_{\sf\ell ateral}=6\cdot4\cdot8=192~cm^2\\\sf A_{\sf tota\ell}=A_{\sf\ell ateral}+2A_{base}\\\sf A_{\sf tota\ell}=192+24\sqrt{3}\\\large\boxed{\boxed{\boxed{\boxed{\sf A_{\sf tota\ell}=24\cdot(8+\sqrt{3})~cm^2}}}}\green{\checkmark}$