To find the height of the right rectangular prism, we can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
In this problem, we are given:
- Volume = 1.5 in³
- Length × Width = 1.5 in²
Let's denote:
- Length = L
- Width = W
- Height = H
We know that:
\[ L \times W = 1.5 \text{ in}^2 \]
And we know the volume is given by:
\[ L \times W \times H = 1.5 \text{ in}^3 \]
Substituting \(L \times W\) into the volume formula gives:
\[ 1.5 \text{ in}^2 \times H = 1.5 \text{ in}^3 \]
Now, to find the height \(H\), we can divide both sides of the equation by \(1.5 \text{ in}^2\):
\[ H = \frac{1.5 \text{ in}^3}{1.5 \text{ in}^2} \]
This simplifies to:
\[ H = 1 \text{ in} \]
Thus, the height of the prism is:
\[ \boxed{1 \text{ in}} \]