The volume of a pyramid is equal to one-third of the product of the base area and the height, following the formula:
[tex]V=\frac{1}{3}A_{\text{base}}\cdot h[/tex]
Since the base of the pyramid is a square, the area of its base is equal to the square of its side length:
[tex]A_{\text{base}}=a^2[/tex]
Then, you can write the formula for the volume as follows:
[tex]V=\frac{1}{3}a^2h[/tex]
The side length of the base is a=30m and the height of the pyramid is h=20m, replace both values on the formula to calculate the volume:
[tex]\begin{gathered} V=\frac{1}{3}\cdot(30^2)\cdot20 \\ V=\frac{1}{3}\cdot900\cdot20 \\ V=\frac{1}{3}\cdot18000 \\ V=6000m^3 \end{gathered}[/tex]
The volume of the square pyramid is 6000m³
