1. **Problem Statement:** Determine the surface area and volume of a rectangular prism with dimensions 7, 4, and 12. 2. **Formulas:** - Volume of a rectangular prism: $$V = l \times w \times h$$ - Surface area of a rectangular prism: $$SA = 2(lw + lh + wh)$$ 3. **Calculate Volume:** $$V = 7 \times 4 \times 12 = 336$$ 4. **Calculate Surface Area:** $$SA = 2(7 \times 4 + 7 \times 12 + 4 \times 12)$$ $$= 2(28 + 84 + 48)$$ $$= 2(160)$$ $$= 320$$ 5. **Check given surface area:** The problem states surface area is 160, but calculation shows 320. This suggests the given surface area might be half the total surface area or a mistake. 6. **Explanation:** The volume calculation matches the given volume 336, confirming the dimensions are correct. **Final answers:** - Volume = 336 cubic units - Surface Area = 320 square units Note: The given surface area 160 is likely incorrect or represents half the total surface area.