Answer:
The volume of the square pyramid is [tex]1,568\ cm^{3}[/tex]
Step-by-step explanation:
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the base of the pyramid
H is the height of the pyramid
In this problem we have
[tex]H=24\ cm[/tex]
Find the area of the base B
[tex]B=14^{2}= 196\ cm^{2}[/tex] ----> is the area of a square
substitute the values and find the volume
[tex]V=\frac{1}{3}(196)(24)=1,568\ cm^{3}[/tex]