MathDB
Depth of an Aquarium

Source: 1971 AHSME Problem 15

April 19, 2014
AMC

Problem Statement

An aquarium on a level table has rectangular faces and is 1010 inches wide and 88 inches high. When it was tilted, the water in it covered an 8"×10"8"\times 10" end but only three-fourths of the rectangular room. The depth of the water when the bottom was again made level, was
<spanclass=latexbold>(A)</span>212"<spanclass=latexbold>(B)</span>3"<spanclass=latexbold>(C)</span>314"<spanclass=latexbold>(D)</span>312"<spanclass=latexbold>(E)</span>4"<span class='latex-bold'>(A) </span>2\textstyle{\frac{1}{2}}"\qquad<span class='latex-bold'>(B) </span>3"\qquad<span class='latex-bold'>(C) </span>3\textstyle{\frac{1}{4}}"\qquad<span class='latex-bold'>(D) </span>3\textstyle{\frac{1}{2}}"\qquad <span class='latex-bold'>(E) </span>4"