1. The problem is to find the total surface area of a rectangular prism with dimensions 5.5 cm, 19.2 cm, and 4 cm. 2. The formula for the surface area $A$ of a rectangular prism with length $l$, width $w$, and height $h$ is: $$A = 2(lw + lh + wh)$$ This formula accounts for the areas of all six faces (front/back, top/bottom, and two sides). 3. Calculate each pair of faces: - Front/back area: $2 \times (19.2 \times 4) = 2 \times 76.8 = 153.6$ cm² - Top/bottom area: $2 \times (5.5 \times 19.2) = 2 \times 105.6 = 211.2$ cm² - Two sides area: $2 \times (5.5 \times 4) = 2 \times 22 = 44$ cm² 4. Sum all areas: $$153.6 + 211.2 + 44 = 408.8$$ cm² 5. Your calculation for front/back area is slightly off (you wrote 153 cm² instead of 153.6 cm²), which affects the total surface area. 6. The correct total surface area is: $$\boxed{408.8 \text{ cm}^2}$$