1. The problem asks for the surface area of a right rectangular prism with dimensions 3 cm (height), 10 cm (width), and 11 cm (depth). 2. The formula for the surface area $A$ of a rectangular prism is: $$A = 2(lw + lh + wh)$$ where $l$, $w$, and $h$ are the length, width, and height respectively. 3. Substitute the given dimensions into the formula: $$A = 2(10 \times 11 + 10 \times 3 + 11 \times 3)$$ 4. Calculate each product: $$10 \times 11 = 110$$ $$10 \times 3 = 30$$ $$11 \times 3 = 33$$ 5. Sum the products: $$110 + 30 + 33 = 173$$ 6. Multiply by 2: $$A = 2 \times 173 = 346$$ 7. Therefore, the surface area of the prism is: $$\boxed{346 \text{ cm}^2}$$