Question 37
In cube $ABCDEFGH$ of edge length $6~\mathrm{cm}$, point $M$ is the midpoint of $EF$.

a) Find the area of triangle $AMH$.
b) Find the volume of pyramid $AMHE$. (The volume of a pyramid is one third of the product of the base area and the corresponding height.)
c) Find the height corresponding to base $AMH$.

a) Find the area of triangle $AMH$.
b) Find the volume of pyramid $AMHE$. (The volume of a pyramid is one third of the product of the base area and the corresponding height.)
c) Find the height corresponding to base $AMH$.