1. **Problem statement:** Two cubes each with edge length 6 cm are joined end to end. We need to find the surface area of the resulting cuboid. 2. **Understanding the problem:** Each cube has edge length $6$ cm. When two cubes are joined end to end, the resulting shape is a cuboid with length equal to the sum of the two cube edges, and width and height equal to the cube edge. 3. **Formula for surface area of a cuboid:** $$\text{Surface Area} = 2(lw + lh + wh)$$ where $l$ = length, $w$ = width, and $h$ = height. 4. **Determine dimensions of the cuboid:** - Length $l = 6 + 6 = 12$ cm - Width $w = 6$ cm - Height $h = 6$ cm 5. **Calculate each term:** - $lw = 12 \times 6 = 72$ - $lh = 12 \times 6 = 72$ - $wh = 6 \times 6 = 36$ 6. **Calculate total surface area:** $$\text{Surface Area} = 2(72 + 72 + 36) = 2(180) = 360$$ 7. **Final answer:** The surface area of the resulting cuboid is $360$ cm$^2$.