The volume for a pyramid is
![V= \frac{1}{3} Bh](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B1%7D%7B3%7D%20Bh)
, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:
![768= \frac{1}{3} (x)( \frac{1}{6} x)](https://tex.z-dn.net/?f=768%3D%20%5Cfrac%7B1%7D%7B3%7D%20%28x%29%28%20%5Cfrac%7B1%7D%7B6%7D%20x%29)
. Simplifying the right side we have
![768= \frac{1}{18} x^{2}](https://tex.z-dn.net/?f=768%3D%20%5Cfrac%7B1%7D%7B18%7D%20%20x%5E%7B2%7D%20)
. Multiply both sides by 18 to get rid of the fraction and we have
![13824= x^{2}](https://tex.z-dn.net/?f=13824%3D%20x%5E%7B2%7D%20)
, so x = 117.575
Answer:
x = 1. 94797216...
Step-by-step explanation:
x = In ( 17 / 2 ) / In 3
x = 1. 94797216...
Hope this answer helps you