The sum of the sides of a cuboid is 72 cm. The ratio of the areas of the three different faces is 3:4:6, what is the volume of the cuboid in cubic centimeters?
一个长方体的棱长总和是72厘米．三个不同面的面积比是3：4：6，这个长方体的体积是多少立方厘米？
<gadget id="calculator">72 / 4</gadget>
<output>18</output>

<gadget id="calculator">2 + 3 + 4</gadget>
<output>9</output>

<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>

<gadget id="calculator">(2/9) / 9</gadget>
<output>2/81 = around 0.024691</output>

<gadget id="calculator">18 * (2/81)</gadget>
<output>4/9 = around 0.444444</output>

<gadget id="calculator">18 * (1/3) * 18 * (2/9) * 18 * (4/9)</gadget>
<output>192</output>

<result>192</result>