[tex]V=abc\\\\V=2\sqrt{7}\cdot3\sqrt{2}\cdot\sqrt{7}\\V=2\cdot3\sqrt{7\cdot2\cdot7}\\V=6\sqrt{49\cdot2}\\V=6\cdot7\sqrt{2}\\\boxed{V=42\sqrt{2}\,cm^3}[/tex]
