Find the height of the pyramid, then solve the problem.

Here is a sketch of the problem:

Let’s label the distance ##EZ = j##

Using the law of **similar triangles** :

##5/(3.18+j)=2/j##

solving for j:

##5j=2(3.18+j)## or ##j=2.12##

So, now we know the distance ##EZ = 2.12##

We also now know the height of the pyramid:

**height** ##=YZ=3.18+2.12=5.3##

**Volume of Pyramid** ##=(1/3)Bh=(1/3)25*5.3##

Volume of small Pyramid ##=(1/3)4*2.12##

**Volume of Fulcrum** ##=(1/3)25*5.3 – (1/3)4*2.12##

Ratio ##=[(1/3)25*5.3 – (1/3)4*2.12] / [(1/3)25*5.3] = 117/125##

hope that helped