To find the volume of a rectangular prism, you can use the formula:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
In this case, the base area of the box is 81 square inches, and the height is 6 inches.
So, the volume can be calculated as follows:
\[ \text{Volume} = 81 , \text{in}^2 \times 6 , \text{in} \]
\[ \text{Volume} = 486 , \text{in}^3 \]
Therefore, the volume of the box is 486 in³.