Question #e85fa

1 Answer
Oct 20, 2015

Answer:

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

Explanation:

Here is a sketch of the problem:

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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