MathDB
Pyramid

Source: AMC 12 2008B Problem 18

February 29, 2008
geometry3D geometrypyramidarea of a triangleHeron's formulaAMC

Problem Statement

A pyramid has a square base ABCD ABCD and vertex E E. The area of square ABCD ABCD is 196 196, and the areas of △ABE \triangle{ABE} and △CDE \triangle{CDE} are 105 105 and 91 91, respectively. What is the volume of the pyramid? <spanclass=′latex−bold′>(A)</span> 392<spanclass=′latex−bold′>(B)</span> 1966<spanclass=′latex−bold′>(C)</span> 3922<spanclass=′latex−bold′>(D)</span> 3923<spanclass=′latex−bold′>(E)</span> 784 <span class='latex-bold'>(A)</span>\ 392 \qquad <span class='latex-bold'>(B)</span>\ 196\sqrt{6} \qquad <span class='latex-bold'>(C)</span>\ 392\sqrt2 \qquad <span class='latex-bold'>(D)</span>\ 392\sqrt3 \qquad <span class='latex-bold'>(E)</span>\ 784
Back to ProblemsView on AoPS