Răspuns: [tex]\bf \pink{\underline{V=54\sqrt{2} }}[/tex]
Explicație pas cu pas:
d → diagonala unui cub
[tex]\bf Formula: ~~d = \sqrt{3} \cdot \ell[/tex]
[tex]\bf d = 3\sqrt{6}[/tex]
[tex]\bf \sqrt{3} \cdot \ell = 3\sqrt{6} \implies \ell = 3\sqrt{6} :\sqrt{3}[/tex]
[tex]\bf \implies\red{\underline{ \ell = 3\sqrt{2}}}[/tex]
[tex]\bf V= \ell^3=\big(3\sqrt{2}\big)^3\implies \pink{\underline{V=54\sqrt{2} }}[/tex]