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In your mind's eye, picture an opened but empty cardboard box which is 3x3 whatevers. We'll call them 'centimeters' (cm) so as not to confuse you. You will find that NINE 1x1cm boxes will fit inside, forming a 'bottom layer'. Two more layers on top of that and you will have ONE CUBIC (whatever) CENTIMETER. If you had started with one-foot square boxes, the total of twenty-seven 'units' would equal ONE SQUARE YARD. ( AKA: 3x3X3 or 3, cubed 'whatevers')

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Q: Why does a cube with a side length 1 cm fit into a cube with a side length of 3 cm 9 times?
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