A cuboid wooden block, after cutting off the cuboids with a height of 2.5 cm and 3.5 cm from the lower part and the upper part, it becomes a cube, and the surface area is reduced by 240 square centimeters. What is the volume of the original cuboid in cubic centimeters?
一个长方体木块，从下部和上部分别截去高为2.5厘米和3.5厘米的长方体后，便成为一个正方体，此时表面积减少了240平方厘米．原来长方体的体积是多少立方厘米？
<gadget id="calculator">2.5 + 3.5</gadget>
<output>6</output>

<gadget id="calculator">240 / 6</gadget>
<output>40</output>

<gadget id="calculator">40 / 4</gadget>
<output>10</output>

<gadget id="calculator">2.5 + 3.5 + 10</gadget>
<output>16</output>

<gadget id="calculator">10 * 10 * 16</gadget>
<output>1_600</output>

<result>1_600</result>