Find the volume to fill and divide by the volume of one cube.<br><br>
&bull; Volume to fill = 32 × 16 × 8 = 4096 cm&sup3;<br>
&bull; Each cube volume = 8&sup3; = 512 cm&sup3;<br>
&bull; Number of cubes = 4096 ÷ 512 = 8<br><br>
Final Answer: 8