A cuboid container is 12 cm long, 10 cm wide, and 20 cm high, filled with water. When one edge of the bottom of the container is inclined at 45 degrees against the table, what is the minimum volume of water remaining in the container in cubic centimeters?
一个长方体容器，长12厘米，宽10厘米，高20厘，容器中盛满水．当这个容器底面的一条棱靠着桌面倾斜45度时，容器内剩下的水的体积最少是多少立方厘米？
<gadget id="calculator">12 * 10 * 20</gadget>
<output>2_400</output>

<gadget id="calculator">10 / 2</gadget>
<output>5</output>

<gadget id="calculator">12 * 12 * 5</gadget>
<output>720</output>

<gadget id="calculator">2_400 - 720</gadget>
<output>1_680</output>

<result>1_680</result>