To find the height of a prism, you can use the formula for the volume of a prism:
\[ V = \text{Base Area} \times \text{Height} \]
Here, \( V \) is the volume of the prism, the base area is given, and we need to solve for the height.
Given:
- Volume \( V = 1122 \) cubic inches
- Base Area = \( 93.5 \) square inches
We can rearrange the formula to solve for height:
\[ \text{Height} = \frac{V}{\text{Base Area}} \]
Substituting the known values:
\[ \text{Height} = \frac{1122}{93.5} \]
Calculating this gives:
\[ \text{Height} = 12 \]
Therefore, the height of the prism is 12 inches.