Volume of the pyramid = 396 [tex]\text{km}^3[/tex]
Solution:
Base of the triangle (b) = 9 km
Height of the triangle (h) = 12 km
Base area of the triangle (B) = [tex]\frac{1}{2} bh[/tex]
[tex]$=\frac{1}{2}\times9\times12[/tex]
Base area of the triangle (B) = 54 km²
Height of the pyramid (H) = 22 km
Volume of the pyramid = [tex]\frac{1}{3}BH[/tex]
[tex]$=\frac{1}{3}\times54\times22[/tex]
= 396 [tex]\text{km}^3[/tex]
Volume of the pyramid = 396 [tex]\text{km}^3[/tex]
Hence the volume of the pyramid is 396 [tex]\text{km}^3[/tex].
