Step 1 :Given a rectangular box with length 16 ft, width 9 ft, and height 11 ft.
Step 2 :The volume of a rectangular box is given by the formula: \(\text{Volume} = \text{length} \times \text{width} \times \text{height}\).
Step 3 :Substituting the given values into the formula, we get \(\text{Volume} = 16 \times 9 \times 11 = 1584 \text{ cubic feet}\).
Step 4 :The surface area of a rectangular box is given by the formula: \(\text{Surface Area} = 2 \times (\text{length} \times \text{width} + \text{width} \times \text{height} + \text{height} \times \text{length})\).
Step 5 :Substituting the given values into the formula, we get \(\text{Surface Area} = 2 \times (16 \times 9 + 9 \times 11 + 11 \times 16) = 838 \text{ square feet}\).
Step 6 :Final Answer: The volume of the rectangular box is \(\boxed{1584}\) cubic feet and the surface area is \(\boxed{838}\) square feet.