A cylindrical piece of wood with a length of 12dm is cut into two sections. The surface area of the two pieces of small cylindrical piece of wood increases by 24d㎡ compared with the surface area of the original piece of wood. What is the volume of this piece of wood?
一根长12dm的圆柱形木料，把它横截成两段，这两段小圆柱形木料的表面积和比原木料的表面积增加了24d㎡，原来这根木料的体积是多少？
<gadget id="calculator">24 / 2</gadget>
<output>12</output>

<gadget id="calculator">12 * 12</gadget>
<output>144</output>

<result>144</result>