MathDB
1994 AMC 12 #11

Source:

December 30, 2011
geometry3D geometryAMC

Problem Statement

Three cubes of volume 1,81, 8 and 2727 are glued together at their faces. The smallest possible surface area of the resulting configuration is
<spanclass=latexbold>(A)</span> 36<spanclass=latexbold>(B)</span> 56<spanclass=latexbold>(C)</span> 70<spanclass=latexbold>(D)</span> 72<spanclass=latexbold>(E)</span> 74 <span class='latex-bold'>(A)</span>\ 36 \qquad<span class='latex-bold'>(B)</span>\ 56 \qquad<span class='latex-bold'>(C)</span>\ 70 \qquad<span class='latex-bold'>(D)</span>\ 72 \qquad<span class='latex-bold'>(E)</span>\ 74