MathDB
Dimensions of Rectangular Box

Source:

April 2, 2013

Problem Statement

The dimensions of a rectangular box in inches are all positive integers and the volume of the box is 2002 in32002\text{ in}^3. Find the minimum possible sum in inches of the three dimensions.
<spanclass=latexbold>(A)</span>36<spanclass=latexbold>(B)</span>38<spanclass=latexbold>(C)</span>42<spanclass=latexbold>(D)</span>44<spanclass=latexbold>(E)</span>92<span class='latex-bold'>(A) </span>36\qquad<span class='latex-bold'>(B) </span>38\qquad<span class='latex-bold'>(C) </span>42\qquad<span class='latex-bold'>(D) </span>44\qquad<span class='latex-bold'>(E) </span>92