To find the width of the rectangular prism (clubhouse), we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
We know the volume (288 ft³), the length (6 ft), and the height (8 ft). We can rearrange the formula to solve for width:
\[ \text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}} \]
Now substitute the known values:
\[ \text{width} = \frac{288 \text{ ft}^3}{6 \text{ ft} \times 8 \text{ ft}} \]
Calculate the denominator:
\[ 6 \text{ ft} \times 8 \text{ ft} = 48 \text{ ft}^2 \]
Now divide the volume by this result:
\[ \text{width} = \frac{288 \text{ ft}^3}{48 \text{ ft}^2} = 6 \text{ ft} \]
Thus, the width of the clubhouse will be 6 ft.