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1998 Gauss (7) #23

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February 26, 2017
Gauss

Problem Statement

A cube measures 10cm×10cm×10cm10 \text{cm} \times 10 \text{cm} \times10 \text{cm} . Three cuts are made parallel to the faces of the cube as shown creating eight separate solids which are then separated. What is the increase in the total surface area?
<spanclass=′latex−bold′>(A)</span> 300cm2<spanclass=′latex−bold′>(B)</span> 800cm2<spanclass=′latex−bold′>(C)</span> 1200cm2<spanclass=′latex−bold′>(D)</span> 600cm2<spanclass=′latex−bold′>(E)</span> 0cm2<span class='latex-bold'>(A)</span>\ 300 \text{cm}^2 \qquad <span class='latex-bold'>(B)</span>\ 800 \text{cm}^2 \qquad <span class='latex-bold'>(C)</span>\ 1200 \text{cm}^2 \qquad <span class='latex-bold'>(D)</span>\ 600 \text{cm}^2 \qquad <span class='latex-bold'>(E)</span>\ 0 \text{cm}^2
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