Answer:
The volume is 356 [tex]in^3[/tex] , which agrees with the second answer option listed.
Step-by-step explanation:
Recall that the volume of a pyramid is the product of the area of its base(B) times the pyramid's height (h), divided by three:
[tex]V=B*\frac{h}{3}[/tex]
For our case, the area of the base "B" is the area of a square of side = 8 inches. That is the area B is:
[tex]B=(8 \,in)^2=64\,in^2[/tex]
Now we can include this value and the value of the pyramid's height (h=12 in) in the formula for the volume to give the answer:
[tex]V=B*\frac{h}{3}=64\,in^2\,\frac{12\,in}{3} =256\,in^3[/tex]
