The sum of the lengths of a group of sides of a cuboid is 24cm, and the ratio of length, width and height is 5:4:3. What is the volume of the cuboid?
一个长方体的一组棱长和是24cm，长宽高的比是5：4：3，长方体的体积是多少？
<gadget id="calculator">24 / 4</gadget>
<output>6</output>

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

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

<gadget id="calculator">6 * (5/12)</gadget>
<output>5/2 = around 2.5</output>

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

<gadget id="calculator">6 * (1/3)</gadget>
<output>2</output>

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

<gadget id="calculator">6 * (1/4)</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">(5/2) * 2 * (3/2)</gadget>
<output>15/2 = around 7.5</output>

<result>15/2 = around 7.5</result>