6 A swimming pool is shaped like a rectangular prism. The bottom of the pool has an area of $$ 48 \mathrm{ft}^{2} $$ and the pool is $$ 5 \frac{1}{2} \mathrm{ft} $$ deep. What is the volume of the water in the pool when it is full?

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To find the volume of the water in the swimming pool, we can use the formula for the volume of a rectangular prism, which is given by:

$$
V = A \times h
$$

where:
- $$ V $$ is the volume,
- $$ A $$ is the area of the base,
- $$ h $$ is the height (or depth in this case).

### Step 1: Identify the known values
- The area of the bottom of the pool, $$ A = 48 \, \text{ft}^2 $$
- The depth of the pool, $$ h = 5 \frac{1}{2} \, \text{ft} $$

### Step 2: Convert the mixed number to an improper fraction
The depth $$ h = 5 \frac{1}{2} $$ can be converted to an improper fraction:

$$
h = 5 + \frac{1}{2} = \frac{10}{2} + \frac{1}{2} = \frac{11}{2} \, \text{ft}
$$

### Step 3: Calculate the volume
Now we can substitute the values into the volume formula:

$$
V = A \times h = 48 \, \text{ft}^2 \times \frac{11}{2} \, \text{ft}
$$

### Step 4: Perform the multiplication
Calculating the volume:

$$
V = 48 \times \frac{11}{2} = \frac{48 \times 11}{2} = \frac{528}{2} = 264 \, \text{ft}^3
$$

### Final Answer
The volume of the water in the pool when it is full is $$ 264 \, \text{ft}^3 $$.
The volume of the water in the pool is 264 cubic feet.

6 A swimming pool is shaped like a rectangular prism. The bottom of the pool has an area of \( 48 \mathrm{ft}^{2} \) and the pool is \( 5 \frac{1}{2} \mathrm{ft} \) deep. What is the volume of the water in the pool when it is full?

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