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Source: 2017 AMC10B #6

February 16, 2017
AMCAMC 10AMC 10 B2017 AMC 10B

Problem Statement

What is the largest number of solid 2-in×2-in×1-in2\text{-in}\times 2\text{-in}\times 1\text{-in} blocks that can fit in a 3-in×2-in×3-in3\text{-in}\times 2\text{-in}\times 3\text{-in} box?
<spanclass=′latex−bold′>(A)</span>3<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>5<spanclass=′latex−bold′>(D)</span>6<spanclass=′latex−bold′>(E)</span>7<span class='latex-bold'>(A) </span> 3\qquad <span class='latex-bold'>(B) </span> 4\qquad <span class='latex-bold'>(C) </span> 5\qquad <span class='latex-bold'>(D) </span> 6\qquad <span class='latex-bold'>(E) </span> 7
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