V = 2,560 m^3
Step-by-step explanation:
The formula for the volume of a pyramid is...
[tex]V=\frac{1}{3}Bh[/tex]
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...
[tex]l*w[/tex]
We can plug in the numbers.
[tex]16*24[/tex]
= 384
Now that we have B, we can plug that into the volume formula along with the height.
[tex]V=\frac{1}{3}(384*20)[/tex]
[tex]V=\frac{1}{3}*7,680[/tex]
V = 2,560 m^3
