Step 1 :Given that the length (l) is 6 inches, the width (w) is 1 inch, and the height (h) is 4 inches.
Step 2 :The volume of a rectangular prism is given by the formula \(\ell \times w \times h\).
Step 3 :Substituting the given values into the formula, we get \(6 \times 1 \times 4\).
Step 4 :Calculating the above expression, we find that the volume of the rectangular prism is \(\boxed{24}\) cubic inches.