There is a building shaped like a square-based pyramid. The length of each side of the building's base is 180 meters and the height of the building is 98 meters. What is the capacity of the pyramid?

Answer :

ANSWER:

The capacity of the pyramid is 1058400 square meters

STEP-BY-STEP EXPLANATION:

We have that the formula for the volume (capacity) of a quadrangular pyramid is the following

[tex]\begin{gathered} V=\frac{1}{3}\cdot s^2\cdot h \\ s=\text{ side} \\ h=\text{ height} \end{gathered}[/tex]

Replacing and we calculate the volume:

[tex]\begin{gathered} V=\frac{1}{3}\cdot180^2\cdot98 \\ V=1058400 \end{gathered}[/tex]