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2008 AMC 12B Question 18

AMC12 · 2008 AMC 12B

Question 18

A pyramid has a square base $ABCD$ and vertex $E.$ The area of square $ABCD$ is $196,$ and the areas of $\triangle ABE$ and $\triangle CDE$ are $105$ and $91,$ respectively. What is the volume of the pyramid?
  1. $392$
  2. $196\sqrt{6}$
  3. $392\sqrt{2}$
  4. $392\sqrt{3}$
  5. $784$