The problem asks us to find the depth of water in a tank, given 54 cubic meters of water is poured into it. Here's how we can solve it step-by-step:

Step 1: Write down the volume formula for a rectangular prism (tank)

The formula for the volume of a rectangular tank is: $V = \text{length} \times \text{width} \times \text{depth}$

Here, the length and width of the tank are given as $6 \, \text{m}$ and $3 \, \text{m}$, respectively. The volume of water is $54 \, \text{m}^3$.

Step 2: Rearrange the formula to solve for depth

Rearranging the formula: $\text{depth} = \frac{V}{\text{length} \times \text{width}}$

Step 3: Substitute the values

$\text{depth} = \frac{54}{6 \times 3} = \frac{54}{18} = 3 \, \text{m}$

Final Answer:

The depth of the water is 3 meters.

Would you like a detailed explanation of the steps? Here are 5 related questions to expand your understanding:

1. How would the depth change if the tank's dimensions were doubled?
2. What is the maximum volume this tank can hold if filled to its brim?
3. How would the calculation change if the tank were not rectangular?
4. What is the relationship between volume and depth in a rectangular prism?
5. If half the water evaporated, what would be the new depth?

Tip: Always double-check the units to ensure consistency in your calculations!