Question

Stiind ca Ab=36cm patrati a unui cub . Aflati l , Al , At , V , diagonala unei fete , diagonala cubului.

Answer 1

$Ab=36cm^2 \\ Ab= l^2 \\ ===== \\l^2=36 \to \boxed{l=6} \\\ \\\ A_{lat}= 4*l^2 \\ A_{lat }=4*6^2 \\ A_{lat}=4*36} \\\boxed{A_{lat}=144cm^2}\\\ \\\ A_{tot}=6*l^2 \\A_{tot}=6*36 \\ \boxed{A_{tot}=216 cm^2}$

$V_{cub}=l^3 \\ V_{cub}=6^3 \\ \boxed{V_{cub}=216cm^3} \\ \\ Diag_{fata}=l \sqrt{2} \\ \boxed{Diag_{fata}=6 \sqrt{2} } \\ \\ Diag_{cub}=l \sqrt{3} \\ \boxed{Diag_{cub}=6 \sqrt{3} }$