1. **State the problem:** Find the surface area and volume of a rectangular prism with dimensions 10 cm (length), 6 cm (width), and 4 cm (height). 2. **Surface Area Formula:** The surface area $SA$ of a rectangular prism is given by: $$SA = 2(lw + lh + wh)$$ where $l$ is length, $w$ is width, and $h$ is height. 3. **Calculate each face area:** - Front and back faces: $lw = 10 \times 6 = 60$ cm$^2$ - Top and bottom faces: $lh = 10 \times 4 = 40$ cm$^2$ - Left and right faces: $wh = 6 \times 4 = 24$ cm$^2$ 4. **Sum the areas and multiply by 2:** $$SA = 2(60 + 40 + 24) = 2(124) = 248 \text{ cm}^2$$ 5. **Volume Formula:** The volume $V$ of a rectangular prism is: $$V = l \times w \times h$$ 6. **Calculate the volume:** $$V = 10 \times 6 \times 4 = 240 \text{ cm}^3$$ **Final answers:** - Surface Area = $248$ cm$^2$ - Volume = $240$ cm$^3$