The question is: "Consider a rectangular tank which is 6 m long, 4 m wide, and 2 m high is floating in a fluid of density ρ. The rectangular tank is placed such that the length 6 m (height) is held vertically and the depth of immersion of the rectangular tank is 4 m. The rectangular tank is in __________ equilibrium." Let's analyze: - The tank's height is **2 m**. However, it's placed such that the **length (6 m) is vertical**, so the "height" is now 6 m. - The **depth of immersion is 4 m** (so, 4 m of the 6 m vertical side is underwater). - The stability of floating bodies depends on the **metacentric height (GM)**: - If GM > 0, **stable** equilibrium. - If GM = 0, **neutral** equilibrium. - If GM < 0, **unstable** equilibrium. For a rectangular tank, when its longest dimension is vertical, the **center of gravity is higher** and the **center of buoyancy is lower**, making the tank **unstable**. **Correct Answer:** The rectangular tank is in **unstable** equilibrium. So, the answer is: > Unstable If you have any specific calculations or want to see the reasoning in detail, let me know!