The sum of the sides of a cuboid is 280 cm, and the ratio of length, width, and height is 15:12:8. Find the volume of the cuboid.
一个长方体的棱长之和是280厘米，长、宽、高的比是15：12：8，求长方体的体积．
<gadget id="calculator">280 / 4</gadget>
<output>70</output>

<gadget id="calculator">15 + 12 + 8</gadget>
<output>35</output>

<gadget id="calculator">15 / 35</gadget>
<output>3/7 = around 0.428571</output>

<gadget id="calculator">70 * (3/7)</gadget>
<output>30</output>

<gadget id="calculator">12 / 35</gadget>
<output>12/35 = around 0.342857</output>

<gadget id="calculator">70 * (12/35)</gadget>
<output>24</output>

<gadget id="calculator">8 / 35</gadget>
<output>8/35 = around 0.228571</output>

<gadget id="calculator">70 * (8/35)</gadget>
<output>16</output>

<gadget id="calculator">30 * 24 * 16</gadget>
<output>11_520</output>

<result>11_520</result>