The volume of the pyramid is ![792\ km^3](https://tex.z-dn.net/?f=792%5C%20km%5E3)
Explanation:
It is given that the base of the pyramid is a right triangle.
The formula to determine the volume of the pyramid is given by
![V=\frac{l w h}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bl%20w%20h%7D%7B3%7D)
where l is the base length of the pyramid,
w is the base width of the pyramid and
h is the height of the pyramid.
From the figure, we can see that,
,
and ![h=22](https://tex.z-dn.net/?f=h%3D22)
Substituting these values in the formula
, we have,
![V=\frac{(9)(12)(22)}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%289%29%2812%29%2822%29%7D%7B3%7D)
Multiplying the numerator, we get,
![V=\frac{2376}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2376%7D%7B3%7D)
Dividing, we get,
![V=792](https://tex.z-dn.net/?f=V%3D792)
Thus, the volume of the pyramid is ![792\ km^3](https://tex.z-dn.net/?f=792%5C%20km%5E3)