Question

calcule a área total de um cubo cuja diagonal de uma face mede 1,2 m

Answer 1

$\large\boxed{\begin{array}{l}\sf seja~\ell~a~aresta~do~cubo.\\\underline{\rm Diagonal~da~face:}\\\sf d=\ell\sqrt{2}\\\sf1,2=\ell\sqrt{2}\\\sf \ell=\dfrac{1,2}{\sqrt{2}}\\\sf\ell =\dfrac{1,2\sqrt{2}}{2}\\\sf \ell=0,6\sqrt{2}\\\underline{\rm \acute Area~total:}\\\sf A_t=6\cdot\ell^2\\\sf A_t=6\cdot(0,6\sqrt{2})^2\\\sf A_t=6\cdot0,36\cdot2\\\sf A_t=4,32~cm^2\end{array}}$