The sum of the lengths of all the sides of a cuboid is 96 cm, and the ratio of the lengths of the three sides intersecting at the same vertex is 3:4:5. What is the volume of this cuboid?
一个长方体所有棱长的和是96厘米，相交于同一顶点的三条棱长的比是3：4：5．这个长方体的体积是多少？
<gadget id="calculator">96 / 4</gadget>
<output>24</output>

<gadget id="calculator">3 + 4 + 5</gadget>
<output>12</output>

<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">24 * (1/4)</gadget>
<output>6</output>

<gadget id="calculator">4 / 12</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">24 * (1/3)</gadget>
<output>8</output>

<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">24 * (5/12)</gadget>
<output>10</output>

<gadget id="calculator">6 * 8 * 10</gadget>
<output>480</output>

<result>480</result>