01 ) a) [math]a^2=b^2+c^2\longrightarrow h^2=I^2-\left(\frac{I^2}{4}\right)\longrightarrow h^2=\frac{3I^2}{4}\longrightarrow h=\frac{I\sqrt{3}}{2}[/math][br][br] b) [math]AL=4\left(\frac{l^2}{2}\right)\longrightarrow AL=2I^2[/math] [br] [math]AB=I^2[/math][br] [math]AT=AB+AL\longrightarrow AT=3I^2[/math][br][br] c) [math]V=\frac{AB\cdot h}{3}\longrightarrow V=I^2\cdot\frac{I\sqrt{3}}{2}\cdot\frac{1}{3}\longrightarrow V=\frac{I^3\sqrt{3}}{6}[/math]
05) 6 vértices, 5 faces e 9 arestas