1. **State the problem:** We need to find the depth of the water in a rectangular cuboid container given the volume of water in milliliters (ml). Since 1 ml = 1 cm³, the volume of water in ml equals the volume in cubic centimeters.
2. **Given dimensions:** The container has width $w = 5$ cm, depth $d = 4$ cm, and height $h = 10$ cm.
3. **Formula for volume of a cuboid:**
$$V = \text{width} \times \text{depth} \times \text{height}$$
4. **Important rule:** The volume of water is the product of the base area (width × depth) and the water height (depth of water). If $x$ is the water depth, then
$$V = w \times d \times x$$
5. **Find water depth:** Rearranging the formula to solve for $x$:
$$x = \frac{V}{w \times d}$$
6. **Example:** If the volume of water is given (say $V$ ml), substitute the values:
$$x = \frac{V}{5 \times 4} = \frac{V}{20}$$
7. **Interpretation:** The water depth $x$ in cm is the volume of water divided by 20.
**Final answer:**
$$\boxed{x = \frac{V}{20} \text{ cm}}$$
This means for every 20 ml of water, the water level rises by 1 cm in the container.
Water Depth 9F3Bd3
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