Extension Problems
There is a rectangular prism $ABCD-EFGH$ with $AB=4, AD=5$ and $AE=3$.
Find the volume of polygon $BDEG$.
Find the volume of polygon $BDEG$.
The figure on the left is made up of seven 1 cm cubes.
The figure on the right shows the same figure wrapped in paper.
Find the volume of the figure on the right.
The figure on the right shows the same figure wrapped in paper.
Find the volume of the figure on the right.
*Give your answer as a fraction. You do not need to include units.
Below is a block of Tofu with sides of length 4. Points $P$ and $Q$ are the midpoints of $AD$ and $DC$ respectively. If you cut a slice through points $E, P, Q, G$ with a knife, what is the volume of the part that includes points $D$ and $H$?
*Give your answer as a fraction. You do not need to include units.
