Volume of the pyramid = 396
![\text{km}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/x3u9j8k7e97mtwslzsqofg7lydt77z1h39.png)
Solution:
Base of the triangle (b) = 9 km
Height of the triangle (h) = 12 km
Base area of the triangle (B) =
![(1)/(2) bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/gsshnj1nhjavgj83ryofbg1gxm41g4zq6k.png)
![$=(1)/(2)*9*12](https://img.qammunity.org/2021/formulas/mathematics/high-school/zomvs6psvu9k7u6x70haagjrm7ychod5ud.png)
Base area of the triangle (B) = 54 km²
Height of the pyramid (H) = 22 km
Volume of the pyramid =
![(1)/(3)BH](https://img.qammunity.org/2021/formulas/mathematics/high-school/d972dk3myr9kw5kql4lrlg26yz4caji4c2.png)
![$=(1)/(3)*54*22](https://img.qammunity.org/2021/formulas/mathematics/high-school/tb9xec01otto5k143f6ln3wi05oet9cwvk.png)
= 396
![\text{km}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/x3u9j8k7e97mtwslzsqofg7lydt77z1h39.png)
Volume of the pyramid = 396
![\text{km}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/x3u9j8k7e97mtwslzsqofg7lydt77z1h39.png)
Hence the volume of the pyramid is 396
.