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The problem states that the weight of water is \( 62 \frac{1}{2} \) pounds per cubic foot. We need to find how many cubic feet of water correspond to a weight of 300 pounds.

### Step 1: Convert the mixed number
The weight per cubic foot is given as \( 62 \frac{1}{2} \) pounds. We first convert this to an improper fraction:
\[
62 \frac{1}{2} = \frac{125}{2} \, \text{pounds per cubic foot}.
\]

### Step 2: Set up the proportion
The total weight of the water is 300 pounds. To find the volume in cubic feet, divide the total weight by the weight per cubic foot:
\[
\text{Volume} = \frac{300 \, \text{pounds}}{\frac{125}{2} \, \text{pounds per cubic foot}} = 300 \times \frac{2}{125}.
\]

### Step 3: Simplify the expression
\[
\text{Volume} = \frac{600}{125} = 4.8 \, \text{cubic feet}.
\]

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

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### Related Questions:
1. If the weight of water was \( 63 \frac{1}{4} \) pounds per cubic foot, how many cubic feet would 300 pounds occupy?
2. How much would 10 cubic feet of water weigh if water weighs \( 62 \frac{1}{2} \) pounds per cubic foot?
3. How many cubic feet would 500 pounds of water fill, with the same weight per cubic foot?
4. If 5 cubic feet of water weigh 350 pounds, what is the weight per cubic foot?
5. What volume will 200 pounds of water fill if the water weighs \( 50 \, \text{pounds per cubic foot} \)?

### Tip:
To handle mixed numbers in such problems, always convert them to improper fractions first for easier calculations!

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

Learn how to calculate the volume of water that weighs 300 pounds given that water weighs 62 1/2 pounds per cubic foot. This problem covers mixed number conversions and proportion calculations.

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