BC' [tex]= \it l\sqrt{2} = 12~cm[/tex]
l [tex]= ~ ^{\sqrt{2} )} \it \frac{12}{\sqrt{2} } = \frac{12\sqrt{2} }{2} = 6\sqrt{2} ~cm[/tex]
d [tex]\it = l\sqrt{3} = \it 6\sqrt{3} \cdot \sqrt{2} = 6\sqrt{6}~cm[/tex]
[tex]A_{t} = \it 6l^{2} = 6 \cdot (6\sqrt{2} )^{2} = 6 \cdot 72 = 432~cm^{2}[/tex]
[tex]A_{l} = \it 4l^{2} = 4 \cdot (6\sqrt{2})^{2} = 4 \cdot 72 = 288~cm^{2}[/tex]
[tex]V_{cub} = \it l^{3} = (6\sqrt{2} )^{3} = 216 \cdot 2\sqrt{2} = 432\sqrt{2} ~cm^{3}[/tex]