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The problem states that the weight of water is \( 62 \dfrac{1}{2} \) pounds per cubic foot, and we need to find how many cubic feet are filled by water weighing 300 pounds.

### Step-by-Step Solution:

1. **Convert the mixed number**:
   \[
   62 \dfrac{1}{2} = 62 + \dfrac{1}{2} = 62.5 \text{ pounds per cubic foot.}
   \]

2. **Use the formula**:
   To find the volume in cubic feet, divide the total weight of the water by the weight per cubic foot:
   \[
   \text{Volume} = \dfrac{\text{Total weight}}{\text{Weight per cubic foot}} = \dfrac{300}{62.5}.
   \]

3. **Perform the division**:
   \[
   \dfrac{300}{62.5} = 4.8 \text{ cubic feet}.
   \]

Thus, **300 pounds of water will fill 4.8 cubic feet**.

Would you like more details or have any further questions? 

Here are some related questions:

1. What is the weight of water in a tank that holds 10 cubic feet?
2. How would the problem change if the weight per cubic foot was 50 pounds instead of 62.5 pounds?
3. How many pounds of water are in 2 cubic feet?
4. If the water weighs 250 pounds, how many cubic feet does it occupy?
5. Can this method be used for other fluids? Why or why not?

**Tip**: When dealing with mixed numbers in calculations, always convert them into improper fractions or decimals to simplify the process.

The weight of water is 62 1/2 lb per cubic foot. Water that weighs 300 lb will fill how many cubic feet?

Learn how to calculate the volume of water in cubic feet when given its weight. This problem involves dividing the total weight of 300 pounds by the weight of 62 1/2 pounds per cubic foot. A clear step-by-step solution suitable for middle school students (Grades 6-8).

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