Step 1 :Given a rectangular prism with length \(l = 6\) in, width \(w = 1\) in, and height \(h = 4\) in.
Step 2 :The surface area of a rectangular prism is given by the formula \(2lw + 2lh + 2wh\).
Step 3 :Substitute the given values into the formula: \(2(6)(1) + 2(6)(4) + 2(1)(4)\).
Step 4 :Calculate the expression to get the surface area: \(68\) square inches.
Step 5 :Final Answer: The surface area of the rectangular prism is \(\boxed{68}\) square inches.