After unfolding the sides of a cuboid, a square with a perimeter of 100 cm is formed. The ratio of the length to width of the bottom of the cuboid is 3:2. What is the volume of the cuboid?
把一个长方体的侧面展开后，形成一个周长是100厘米的正方形，已知长方体底面的长与宽的比是3：2，长方体的体积是多少．
<gadget id="calculator">100 / 4</gadget>
<output>25</output>

<gadget id="calculator">25 / 2</gadget>
<output>25/2 = around 12.5</output>

<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(25/2) * (3/5)</gadget>
<output>15/2 = around 7.5</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(25/2) * (2/5)</gadget>
<output>5</output>

<gadget id="calculator">(15/2) * 5 * 25</gadget>
<output>1_875/2 = around 937.5</output>

<result>1_875/2 = around 937.5</result>