The volume of the pyramid is [tex]792\ km^3[/tex]
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
[tex]V=\frac{l w h}{3}[/tex]
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,
[tex]l=9[/tex], [tex]w=12[/tex] and [tex]h=22[/tex]
Substituting these values in the formula [tex]V=\frac{l w h}{3}[/tex] , we have,
[tex]V=\frac{(9)(12)(22)}{3}[/tex]
Multiplying the numerator, we get,
[tex]V=\frac{2376}{3}[/tex]
Dividing, we get,
[tex]V=792[/tex]
Thus, the volume of the pyramid is [tex]792\ km^3[/tex]
