Problem 291

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Problem 291: (2018 AMC 10b,10)

In the rectangular parallelepiped shown, $AB=3$, $BC=1$, and $CG=2$. Point $M$ is the midpoint of $\overline{FG}$. What is the volume of the rectangular pyramid with base $BCHE$ and apex $M$? $\textbf{(A) }1 \qquad$ $ \textbf{(B) }\frac{4}{3} \qquad$ $ \textbf{(C) }\frac{3}{2} \qquad$ $ \textbf{(D) }\frac{5}{3} \qquad$ $ \textbf{(E) }2 \qquad$

Solution

Exercise 291: Solution

In a rectangular parallelepiped, $AB=4$, $BC=3$, and $CG=6$. Point $M$ is the midpoint of $\overline{FG}$. What is the volume of the rectangular pyramid with base $BCHE$ and apex $M$?

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