A cuboid, the sum of the lengths of the sides is 84 cm, the length is twice the width, and the width is three times the height, what is the volume of the rectangle in cubic centimeters?
一个长方体，棱长之和是84厘米，长是宽的2倍，宽是高的3倍，则这个长方形的体积是多少立方厘米．
<gadget id="calculator">84 / 4</gadget>
<output>21</output>

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

<gadget id="calculator">6 + 3 + 1</gadget>
<output>10</output>

<gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">21 * (3/5)</gadget>
<output>63/5 = around 12.6</output>

<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">21 * (3/10)</gadget>
<output>63/10 = around 6.3</output>

<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">21 * (1/10)</gadget>
<output>21/10 = around 2.1</output>

<gadget id="calculator">(63/5) * (63/10) * (21/10)</gadget>
<output>83_349/500 = around 166.698</output>

<result>83_349/500 = around 166.698</result>