1. **State the problem:** We need to find the surface area of a rectangular prism with dimensions 14 cm (height), 6 cm (depth), and 4 cm (width). 2. **Formula for surface area of a rectangular prism:** $$\text{Surface Area} = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height respectively. 3. **Assign the dimensions:** Let $l = 4$ cm, $w = 6$ cm, and $h = 14$ cm. 4. **Calculate each product:** $$lw = 4 \times 6 = 24$$ $$lh = 4 \times 14 = 56$$ $$wh = 6 \times 14 = 84$$ 5. **Sum the products:** $$24 + 56 + 84 = 164$$ 6. **Multiply by 2 to get total surface area:** $$2 \times 164 = 328$$ 7. **Final answer:** The surface area of the rectangular prism is **328 cm^2**.