There is a cuboid, the ratio of length to width is 2:1, and the ratio of width to height is 3:2. It is known that the sum of the lengths of all sides of this cuboid is 132 cm. What is the volume of this cuboid in cubic centimeters?
有一个长方体，长与宽的比是2：1，宽与高的比是3：2，已知这个长方体的全部棱长总和是132厘米，这个长方体的体积是多少立方厘米．
<gadget id="calculator">2 * 4</gadget>
<output>8</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/3) * 4</gadget>
<output>8/3 = around 2.666667</output>

<gadget id="calculator">8 + 4 + (8/3)</gadget>
<output>44/3 = around 14.666667</output>

<gadget id="calculator">132 / (44/3)</gadget>
<output>9</output>

<gadget id="calculator">9 * 9 * 2 * (2/3) * 9</gadget>
<output>972</output>

<result>972</result>