A candle maker packs a rectangular storage box tightly with 27 identical large cube-shaped candles and some identical small cube-shaped candles, so that candles of the same size are stacked directly on top of each other, filling the box exactly to the brim. The figure shows the first layer of candles packed in the box. (a) How many small candles does he have? (b) The volume of the box is 37800 cm³. The total volume of the 27 large candles is 5/7 of the volume of the box. What is the length of one edge of the small candle?
Opening the drawing…
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