1. **State the problem:** We need to find the volume of a box (rectangular prism) with given dimensions: height = 13 cm, width = 6 cm, and length = twice the width. 2. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Calculate the length:** Since length is twice the width, $$\text{length} = 2 \times 6 = 12 \text{ cm}$$ 4. **Substitute values into the volume formula:** $$\text{Volume} = 12 \times 6 \times 13$$ 5. **Calculate the volume:** $$12 \times 6 = 72$$ $$72 \times 13 = 936$$ 6. **Final answer:** The volume of the box is $$\boxed{936}$$ cubic centimeters.