The length, width and height of a cuboid are all in centimeters, and the sum of the lengths of the sides is 84 centimeters. If the length is doubled, the resulting cuboid can be divided into 3 identical cubes. What is the volume of the cuboid in cubic centimeters?
一个长方体的长、宽、高都是整厘米数，棱长总和是84厘米，如果长增加一倍，所得的长方体正好能分成3个完全相同的正方体，原来这个长方体的体积是多少立方厘米．
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">(3/2) * 4</gadget>
<output>6</output>

<gadget id="calculator">6 + 4 + 4</gadget>
<output>14</output>

<gadget id="calculator">84 / 14</gadget>
<output>6</output>

<gadget id="calculator">6 * (3/2) * 6 * 6</gadget>
<output>324</output>

<result>324</result>