A container with a square bottom is filled with water. The side length measured from the inside is 14 cm, and the height of the water surface is 8 cm. Put an iron solid cone upright (the bottom surface is in contact with the bottom of the container) behind the container, and the height of the water rises to 12 cm. , which is exactly (1/2) the height of the cone, what is the area of the base of the cone?
一个底面是正方形的容器里装着水，从里面量边长是14厘米，水面高度是8厘米，把一个铁质实心圆锥直立(底面与容器底部接触)在容器以后，水的高度上升到12厘米，正好是圆锥高的(1/2)，求圆锥的底面积是多少？
<gadget id="calculator">12 - 8</gadget>
<output>4</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) ** 3</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) * 24</gadget>
<output>8</output>

<gadget id="calculator">4 / (7/8) / 8</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">14 * 14 * (4/7)</gadget>
<output>112</output>

<result>112</result>