Master Wang made a small wooden box in the shape of a cuboid with two identical square boards and four identical rectangular boards. Known: The surface area of this wooden box is 2000 square centimeters, and its length, width, and height are all integers in centimeters. What is the maximum volume in cubic centimeters of this small wooden box? (The thickness of the board is ignored)
王师傅用两块同样的正方形木板和四块同样的长方形木板做了一个长方体形状的小木箱．已知：这个木箱的表面积是2000平方厘米，且它的长、宽、高都是整厘米数．这个小木箱的容积最大是多少立方厘米？(木板的厚度忽略不计)
<gadget id="calculator">15 * 20 * 20</gadget>
<output>6_000</output>

<result>6_000</result>