A barge floating in fresh water

A barge floating in fresh water (A? = 1000 kg/m³) is shaped like a hollow rectangular prism with base area A =650 m² and height H= 2.0 m. When empty the bottom of the barge is located H₀ =0.4 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H₁ = 1 m below the surface.

Randomized VariablesA = 650 m²
H₀ = 0.4 m
H₁ = 1 m