To find the height of the right rectangular prism, we can use the formula for the volume of a rectangular prism, which is:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given:
- Volume (V) = 1.5 in³
- Product of length and width = 1.5 in²
Let's denote:
- Length = \( l \)
- Width = \( w \)
- Height = \( h \)
From the information given, we know:
\[ l \times w = 1.5 \text{ in}^2 \]
The volume equation can now be expressed as:
\[ 1.5 = (l \times w) \times h \]
Substituting the product of length and width:
\[ 1.5 = 1.5 \times h \]
To find \( h \), we can divide both sides by 1.5:
\[ h = \frac{1.5}{1.5} = 1 \]
Therefore, the height of the prism is:
\[ \boxed{1} \text{ in} \]