A chocolate factory packs a rectangular crate tightly with 18 identical large chocolate cubes and some identical small chocolate cubes, so that cubes of the same size are stacked directly on top of each other, filling the crate exactly to the brim. The figure shows the first layer of cubes packed in the crate. (a) How many small chocolate cubes are there? (b) The volume of the crate is 5625 cm³. The total volume of the 18 large cubes is 2/5 of the volume of the crate. What is the length of one edge of the small cube?
Opening the drawing…
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