Respuesta :
1689.3 ft³
1) Since the pyramid has a side length of the base as 18.2 ft then the area of the base is the area of a square:
[tex]\begin{gathered} A=(18.2)^2 \\ A=331.24 \end{gathered}[/tex]2) Now we can plug that into the formula of the Volume:
[tex]\begin{gathered} V=\frac{1}{3}\cdot A_{\text{base}}\cdot h \\ V=\frac{1}{3}\cdot331.24\cdot15.3 \\ V=1689.324ft^3 \end{gathered}[/tex]Note that the pyramid's volume is 1/3 times the base area times the height.
3) Hence, the answer is 1689.3 ft³
