The given ratio is 3:6:8 referring to cement, sand, and gravel, respectively.
Based on the given information, we can express the following
[tex]3x+6x+8x=850[/tex]Now, we solve for x
[tex]\begin{gathered} 17x=850 \\ x=\frac{850}{17} \\ x=50 \end{gathered}[/tex]Now, we find the gravel using the ratio
[tex]8x=8\cdot50=400[/tex]Hence, they needed 400 cubic meters of gravel.