A solid of density 2.5 kg `m^(-3)` floats in a fluid with one-third of its volume immersed in it. What is the density of the fluid?

Explanation

To solve the problem, we need to use the principle of buoyancy, which states that the buoyant force acting on a submerged object is equal to the weight of the fluid displaced by the object. Here's a step-by-step solution:

### Step 1: Understand the Given Data
- Density of the solid (\( \rho_B \)) = 2.5 kg/m³
- Volume of the solid (\( V \)) = V (unknown)
- Volume of the solid submerged in the fluid = \( \frac{1}{3}V \)

### Step 2: Write the Equation for Buoyant Force
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