To find the height of the right rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Let:
- \( V \) = volume = 1.5 in³
- \( L \) = length
- \( W \) = width
- \( H \) = height
We also know that:
\[ L \times W = 1.5 \text{ in}^2 \]
Now we can substitute this information into the volume formula:
\[ 1.5 = (L \times W) \times H \]
Since \( L \times W = 1.5 \text{ in}^2 \):
\[ 1.5 = 1.5 \times H \]
To solve for \( H \), we can divide both sides by 1.5:
\[ H = \frac{1.5}{1.5} = 1 \text{ in} \]
Thus, the height of the prism is:
\[ \boxed{1 \text{ in}} \]