MathDB
Removing Box Corners

Source:

February 16, 2008
geometry3D geometrypercent

Problem Statement

A solid box is 15 15 cm by 10 10 cm by 8 8 cm. A new solid is formed by removing a cube 3 3 cm on a side from each corner of this box. What percent of the original volume is removed? <spanclass=latexbold>(A)</span> 4.5<spanclass=latexbold>(B)</span> 9<spanclass=latexbold>(C)</span> 12<spanclass=latexbold>(D)</span> 18<spanclass=latexbold>(E)</span> 24 <span class='latex-bold'>(A)</span>\ 4.5 \qquad <span class='latex-bold'>(B)</span>\ 9 \qquad <span class='latex-bold'>(C)</span>\ 12 \qquad <span class='latex-bold'>(D)</span>\ 18 \qquad <span class='latex-bold'>(E)</span>\ 24