Answer:
Volume of the pyramid=[tex]396 km^3[/tex]
Step-by-step explanation:
Volume of a right triangular pyramid = [tex]\frac{1}{3}*A*H[/tex]
Where A= Area of the base triangle of the pyramid
and H = Height of the Pyramid from base to top of it.
In the base triangle:
Length of base= 12 Km Length of Altitude of base triangle=9 km
Area of the base triangle(A)
[tex]= \frac{1}{2} *base *altitude \\\\ = \frac{1}{2} * 12*9\\\\ = 54 Km^2[/tex]
Volume of the pyramid= [tex]\frac{1}{3}*A*H[/tex] :[tex]H=22 Km[/tex]
[tex]\frac{1}{3} *54*22[/tex]
[tex]=18*22[/tex]
Volume of the pyramid=[tex]396 km^3[/tex]
