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Answer 1 · 2015-10-20T19:31:08

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

Here is a sketch of the problem:

enter image source here

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