1. **State the problem:** We need to find the volume of a cuboid with given dimensions. 2. **Given:** - Length $l = 6$ cm - Width $w = 5$ cm - Height $h$ is 2 cm longer than the width, so $h = w + 2 = 5 + 2 = 7$ cm 3. **Formula for volume of a cuboid:** $$V = l \times w \times h$$ 4. **Substitute the values:** $$V = 6 \times 5 \times 7$$ 5. **Calculate:** $$V = 30 \times 7 = 210$$ 6. **Answer:** The volume of the cuboid is $210$ cubic centimeters (cm$^3$).