Question

Calcule a área total de um cubo cuja diagonal mede 3m.

Answer 1

$\boxed{d = a\sqrt{3}}\\\\ 3 = a\sqrt{3}\\\\ a = \frac{3}{\sqrt{3}} = \frac{\sqrt{3}}{\sqrt{3}} = \frac{3\sqrt{3}}{3}\\\\ \boxed{a=\sqrt{3}\ m}$

$\boxed{A_t = 6a^2}\\\\ A_t = 6(\sqrt{3}})^2\\\\ A_t = 6(3)\\\\ \boxed{A_t=18\ m^2}$