MathDB
Wooden Triangles

Source: Problem #10 2016 AMC 10B and #8 AMC 12

February 21, 2016
AMCAMC 10AMC 122016 AMC 10B2016 AMC 12BgeometryAMC 10 B

Problem Statement

A thin piece of wood of uniform density in the shape of an equilateral triangle with side length 33 inches weighs 1212 ounces. A second piece of the same type of wood, with the same thickness, also in the shape of an equilateral triangle, has side length of 55 inches. Which of the following is closest to the weight, in ounces, of the second piece?
<spanclass=latexbold>(A)</span> 14.0<spanclass=latexbold>(B)</span> 16.0<spanclass=latexbold>(C)</span> 20.0<spanclass=latexbold>(D)</span> 33.3<spanclass=latexbold>(E)</span> 55.6<span class='latex-bold'>(A)</span>\ 14.0\qquad<span class='latex-bold'>(B)</span>\ 16.0\qquad<span class='latex-bold'>(C)</span>\ 20.0\qquad<span class='latex-bold'>(D)</span>\ 33.3\qquad<span class='latex-bold'>(E)</span>\ 55.6