A metal cube of mass 10 kg is floating in a liquid with `3/4` of its volume inside the liquid. Calculate:
(i) buoyant force acting on the cube.
(ii) ratio between density of cube and density of liquid.
Take `g=10 m//s^(2)`

Explanation

To solve the problem step by step, we will calculate the buoyant force acting on the cube and the ratio between the density of the cube and the density of the liquid.

### Step 1: Calculate the Buoyant Force
The buoyant force (Fb) acting on an object submerged in a fluid is given by Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

1. **Determine the weight of the cube (Fg)**:
\[
F_g = m \cdot g
...