V = 2,560 m^3
Explanation:
The formula for the volume of a pyramid is...
![V=(1)/(3)Bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/beoskv44eg7c36vst60v5ltruk9i44sx25.png)
B is the area of the base, which in this case is a rectangle. We need to find the area of the rectangle to plug in for B.
The formula for the area of a rectangle is...
![l*w](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cg0zdgqaytqeg92ieqte97z2sppbss8e3h.png)
We can plug in the numbers.
![16*24](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1s9ervakxyd0twt9lik8h8692loo7ge96l.png)
= 384
Now that we have B, we can plug that into the volume formula along with the height.
![V=(1)/(3)(384*20)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e5gyex9bgc5gdt16z8pzjc5rxqkcobb1hb.png)
![V=(1)/(3)*7,680](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jf4l7cpiae98c41vyrordnualx1z2egi24.png)
V = 2,560 m^3