[tex]diagonala \: cubului = \frac{ \sqrt{675} }{2} = \frac{15 \sqrt{3} }{2} = 7.5 \sqrt{3} [/tex]
[tex]diagonala \: unei \: fete = \frac{ \sqrt{450} }{2} = \frac{ \sqrt{2 \times {5}^{2} \times {3}^{2} } }{2} = \frac{15 \sqrt{2} }{2} = 7.5 \sqrt{2} [/tex]
latura = 7.5u
Arie totala = 6 × 7.5 × 7.5 = 337.5 u^2
Volum = 7.5 × 7.5 × 7.5 = 421.875u^3
