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Cubes' Volume and Surface Area

Source: AMC 12 2008A Problem 8

February 17, 2008
geometry3D geometryAMC

Problem Statement

What is the volume of a cube whose surface area is twice that of a cube with volume 1 1? <spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 22<spanclass=′latex−bold′>(D)</span> 4<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ \sqrt{2} \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 2\sqrt{2} \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 8
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