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2018 AMC 10B Question 10

AMC10 · 2018 AMC 10B

Question 10

In the rectangular parallelepiped shown, $AB = 3,$ $BC = 1,$ and $CG = 2.$ Point $M$ is the midpoint of $FG.$ What is the volume of the rectangular pyramid with base $BCHE$ and apex $M?$

Question illustration
  1. $1$
  2. $\dfrac{4}{3}$
  3. $\dfrac{3}{2}$
  4. $\dfrac{5}{3}$
  5. $2$