Step 1: Find the volume of the cube.<br><br>
&bull; Volume of cube = 8 × 8 × 8 = 512&nbsp;cm&sup3;<br><br>
Step 2: The cuboid has the same volume. Its base area is 16 × 4 = 64&nbsp;cm&sup2;.<br><br>
&bull; Volume of cuboid = Base Area × Height<br>
&bull; 512 = 64 × Height<br>
&bull; Height = 512 ÷ 64 = 8&nbsp;cm<br>
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Final Answer: 8 cm