To calculate the surface area of a rectangular prism, we use the formula: $$ \text{Surface Area} = 2(lw + lh + wh) $$ where $l$ is the length, $w$ is the width, and $h$ is the height. Given: Base measures 6 cm by 10 cm, so we can take: Length ($l$) = 10 cm Width ($w$) = 6 cm Height ($h$) = 9 cm Step 1: Substitute the given dimensions into the formula. $$ \text{Surface Area} = 2((10 \text{ cm} \times 6 \text{ cm}) + (10 \text{ cm} \times 9 \text{ cm}) + (6 \text{ cm} \times 9 \text{ cm})) $$ Step 2: Calculate the area of each pair of faces. $$ \text{Surface Area} = 2(60 \text{ cm}^2 + 90 \text{ cm}^2 + 54 \text{ cm}^2) $$ Step 3: Sum the areas inside the parentheses. $$ \text{Surface Area} = 2(204 \text{ cm}^2) $$ Step 4: Multiply by 2 to get the total surface area. $$ \text{Surface Area} = 408 \text{ cm}^2 $$ The surface area of the prism is $\boxed{\text{408 cm}^2}$.