Answer: First option
Step-by-step explanation:
1. You must apply the following formula for calculate the volume of a square pyramid:
[tex]V=\frac{b^{2}*h}{3}[/tex]
Where h is the height and b is a side of the base.
2. Calculate the height by applying the Pythagorean Theorem:
[tex]h=\sqrt{(15m)^{2}-(\frac{18m}{2} )^{2}}=12m[/tex]
3. Therefore, the volume is:
[tex]V=\frac{(18m)^{2}*12m}{3}=1296m^{3}[/tex]
