Question

The volume
of the prism is 1122 cubic inches. Use the formula
to find the height
of the prism.

height:
in. The base = 93.5 in^2

Answer 1

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**.