To find the volume of a right rectangular prism, you can use the formula:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
In this case, the base area is given as \(10 , \text{in}^2\) and the height is \(4 , \text{in}\).
Now, substituting the values into the formula:
\[ \text{Volume} = 10 , \text{in}^2 \times 4 , \text{in} = 40 , \text{in}^3 \]
Therefore, the volume of the right rectangular prism is \(40 , \text{in}^3\).