Question

Question #e85fa

Answer 1

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

Explanation:

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