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AHSME 1950- part 2

Source:

July 19, 2008
number theoryprime factorization

Problem Statement

The volume of a rectangular solid each of whose side, front, and bottom faces are 12 in212\text{ in}^2, 8 in28\text{ in}^2, and 6 in26\text{ in}^2 respectively is:
<spanclass=′latex−bold′>(A)</span> 576 in3<spanclass=′latex−bold′>(B)</span> 24 in3<spanclass=′latex−bold′>(C)</span> 9 in3<spanclass=′latex−bold′>(D)</span> 104 in3<spanclass=′latex−bold′>(E)</span> None of these<span class='latex-bold'>(A)</span>\ 576\text{ in}^3 \qquad <span class='latex-bold'>(B)</span>\ 24\text{ in}^3 \qquad <span class='latex-bold'>(C)</span>\ 9\text{ in}^3 \qquad <span class='latex-bold'>(D)</span>\ 104\text{ in}^3 \qquad <span class='latex-bold'>(E)</span>\ \text{None of these}
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