A certain object is more dense than a particular fluid. The object has a weight W, and an apparent weight W_a when immersed in the fluid. What is the density ρ of the object?

If the object is resting on the bottom of the container:

mg = N + F_b, where N = W_a

mg = ρ V g

F_b = p_fluid V g

Therefore:

ρ V g = W_a + p_fluid V g

ρ = p_fluid + W_a/Vg