Jack has 8 identical large cubes and some identical small cubes. He packed all the cubes tightly into a rectangular box such that cubes of the same size are stacked on top of each other. The box is filled to its brim exactly. The figure shows the first layer of cubes packed in the box. (a) How many small cubes does Jack have? (b) The volume of the box is 4032 cm³. The total volume of the 8 large cubes is 3/7 of the volume of the box. What is the length of one edge of the small cube?
Opening the drawing…
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