The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch. How many such cubes are required to completely pack the prism without any gap or overlap?
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