1. Stating the problem: We need to find the volume of water in a cuboid container. The container has dimensions length $16$ cm, width $7$ cm, and height $14$ cm, but water only fills up to a height of $6$ cm. 2. To find the volume of water, use the formula for the volume of a cuboid: $$\text{Volume} = \text{length} \times \text{width} \times \text{height}.$$ Here, the height is the water's height, not the full container height. 3. Substitute the given values into the formula: $$\text{Volume} = 16 \times 7 \times 6.$$ 4. Calculate the product: $$16 \times 7 = 112,$$ then, $$112 \times 6 = 672.$$ 5. Since $1$ cm$^3$ equals $1$ millilitre, the volume in millilitres is: $$672 \text{ ml}.$$ Therefore, the volume of water in the container is $672$ millilitres.