a) diagonala cubului = latura cubului * √3
[tex] \frac{suma-muchiilor}{suma-diagonalelor} = \frac{12*L}{4L \sqrt{3} } = \frac{3}{ \sqrt{3} } = \sqrt{3} [/tex]
b) At = 6* L ^2
216 = 6*L^2
36 = L^2
L = 6 cm
V = L^3 = 6*6*6 = 216cm^3
c) paralelipipedul dreptunghic are 4 inaltimi(h), 4 lungimi(L) si 4 latimi (l)
108 = 4 ( L+l+h)
27 = 12+8+h
h = 7 cm