Question

Find the volume of a pyramid with a square base, where the side length of the base is 18.2ft and the height of the pyramid is 15.3ft. Round your answers to the nearest tenth of a cubic foot.

Answer 1

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:

`\begin{gathered} A=(18.2)^2 \\ A=331.24 \end{gathered}`

2) Now we can plug that into the formula of the Volume:

`\begin{gathered} V=(1)/(3)\cdot A_{\text{base}}\cdot h \\ V=(1)/(3)\cdot331.24\cdot15.3 \\ V=1689.324ft^3 \end{gathered}`

Note that the pyramid's volume is 1/3 times the base area times the height.

3) Hence, the answer is 1689.3 ft³