Use several small cubes with the same volume to pile up a large cube, so that all the diagonals of the large cube (the connection between the two farthest vertices among the eight vertices of the cube) pass through the small cubes are all black, and the rest The small cubes are all white, and there are an even number of small cubes on each side of the big cube. After the stacking is completed, the volume of the white cubes accounts for 93.75% of the total volume. How many small black cubes are used?
用若干个体积相同的小正方体堆积成一个大正方体，要使大正方体的所有对角线(正方体八个顶点中距离最远的两个顶点的联机)穿过的小正方体都是黑色的，其余小正方体都是白色的，并且大正方体每条边上有偶数个小正方体，当堆积完成后，白色正方体的体积占总体积的93.75%，那么一共用了多少个黑色的小正方体．
<gadget id="calculator">93.75 / 100</gadget>
<output>0.9375</output>

<gadget id="calculator">1 - 0.9375</gadget>
<output>0.0625</output>

<gadget id="calculator">8 * 8 * 8 * 0.0625</gadget>
<output>32</output>

<result>32</result>