The volume of the given square pyramid is A) 384 cubic cm.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and [tex]\frac{1}{3}[/tex].
The volume of a square pyramid, [tex]V=a^{2} \frac{h}{3}.[/tex]
Step 2:
From the given diagram, the base edge is the length of the four base edges which is 12 cm in this pyramid. a = 12 cm.
The height of the pyramid is from the base to the top, h = 8 cm.
The volume of a square pyramid, [tex]V=a^{2} \frac{h}{3} =(12^{2} )(\frac{8}{3} ) = (144 )(\frac{8}{3}).[/tex]
[tex](144 )(\frac{8}{3}) = \frac{1,152}{3} = 384.[/tex]
So the volume of the given square pyramid is A) 384 cubic cm.
