If a rectangular swimming pool has a volume of 16,500 cubic feet, a uniform depth of 10 feet, and a length of 75 feet, what is the width of the pool, in feet?

Options

A. `22`
B. `26`
C. `32`
D. `110`

Answer

To find the width of the rectangular swimming pool, we can use the formula for the volume of a rectangular prism (or cuboid), which is given by:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \]

### Step 1: Write down the known values
- Volume (V) = 16,500 cubic feet
- Length (L) = 75 feet
- Depth (D) = 10 feet
- Width (W) = ?

### Step 2: Substitute the known values into the volume formula
We can rearrange the volume formula to solve for the width:

\[ W = \frac{V}{L \times D} \]

Substituting the known values:

\[ W = \frac{16500}{75 \times 10} \]

### Step 3: Calculate the denominator
First, calculate the product of the length and depth:

\[ 75 \times 10 = 750 \]

### Step 4: Substitute back into the equation
Now substitute this value back into the equation for width:

\[ W = \frac{16500}{750} \]

### Step 5: Perform the division
Now, perform the division:

\[ W = 22 \]

### Conclusion
The width of the pool is 22 feet.

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