A solid cube with side length \(L\) and density \(\rho_c\) is attached to a vertical string and partially lowered into a large vat of liquid with density \(\rho_l\), where \(\rho_c > \rho_l\). The cube is held in static equilibrium such that its bottom surface is parallel to the liquid surface and a height \(x\) of the cube remains above the liquid surface. Which of the following is a correct expression for the tension \(T\) in the string?