A pool is equipped with three water pipes A, B, and C. Pipes A and B are water injection pipes, and pipe C is a drain pipe. Only opening pipe A for 12 hours can fill the empty pool, and opening pipe B for 15 hours can fill the empty pool. Fill it up and open the C pipe alone, and the full pool can be emptied in 10 hours. There are 6 cubic meters of water in the existing pool, and the three pipes are opened at the same time, and the pool is filled for the first time in 8 hours. What is the volume of the pool in cubic meters?
一个水池装有甲、乙、丙三条水管，甲管和乙管是注水管，丙管是排水管，单开甲管12小时能把空池注满，单开乙管15小时能把空池注满，单开丙管，10小时能把满池水排空．现水池有6立方米水，三管同时开，8小时水池正好第一次注满，水池的容积是多少立方米．
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/15) - (1/10)</gadget>
<output>-1/30 = around -0.033333</output>

<gadget id="calculator">(1/12) + (-1/30)</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/20) * 8</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">6 / (3/5)</gadget>
<output>10</output>

<result>10</result>