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Increasing the side lengths of a cube

Source: 1959 AMC 12 Problem 1

August 13, 2013
geometry3D geometrypercentpercent increaseAMCcubeAMC 12

Problem Statement

Each edge of a cube is increased by 50%50 \%. The percent of increase of the surface area of the cube is: <spanclass=′latex−bold′>(A)</span> 50<spanclass=′latex−bold′>(B)</span> 125<spanclass=′latex−bold′>(C)</span> 150<spanclass=′latex−bold′>(D)</span> 300<spanclass=′latex−bold′>(E)</span> 750 <span class='latex-bold'>(A)</span>\ 50 \qquad<span class='latex-bold'>(B)</span>\ 125\qquad<span class='latex-bold'>(C)</span>\ 150\qquad<span class='latex-bold'>(D)</span>\ 300\qquad<span class='latex-bold'>(E)</span>\ 750
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