Mark M. answered • 06/13/18
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Mathematics Teacher - NCLB Highly Qualified
12 / 1.5 = 8
So 8 marbles along the length, 8 marbles across the width, and 8 marbles high.
So 512 marbles
Now determine the volume of the cube and subtract the volume of the 512 marbles.
David W.
As usual, Mark M. has presented an excellent answer. However, it applies to introductory math. At the very advanced math/engineering level, we must consider whether changing from (8)*(8*8) to ( 5*(8*8) with 4*(7*7) ) layers interleaved ) would still fit an 12-cubic-centimeter box. At this size, it may not, but, for sure, a box of size 120 cm * 120 cm * 120 cm could fit at least 41 layers of 8x8 and 40 layers of 7x7 interleaved (note: 4584 instead of 4520 marbles).06/30/19