Question

A pyramid shaped building is 861 ft tall with a square base that is 142 ft on each side . what is the volume of the pyramid ?V= _ft3 (Round to the nearest tenth as needed .)

Answer 1

hello

to solve this problem, we have to know the formula of volume of a triangular pyramid.

`\begin{gathered} v=(1)/(3)* B* h \\ v=\text{volume} \\ B=\text{base area} \\ h=\text{height} \end{gathered}`
`\begin{gathered} B=\text{area of a square} \\ B=l* l \\ l=142 \\ b=142*142 \\ b=20164ft^2 \end{gathered}`

now we can multiply the base area with the height to know the volume

`\begin{gathered} v=(1)/(3)b* h \\ b=20164ft^2 \\ h=861ft \\ v=(1)/(3)*20164*861 \\ v=5787068ft^3 \end{gathered}`

the volume of the pyramid is 5787068 feet cubed