AMC10 2027 - Self-practice Set 4 Question 24

Question 24

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

$1$
$\dfrac{4}{3}$
$\dfrac{3}{2}$
$\dfrac{5}{3}$
$2$