Answer :
The volume of the square pyramid is 405 cubic inches.
The correct answer is option (B).
What is the volume of the square pyramid?
V = 1/3 × base area × h,
where h is the height of the pyramid.
What is the perimeter of square?
P = 4 × a
where, 'a' represents the side of the square
For given example,
Let 'a' be the side length of the square base.
We have been given the perimeter of the square base is 36.
⇒ P = 36
⇒ 4 × a = 36
⇒ a = 9
So, the length of the side of the square base is 9 in.
Using the formula of the volume of the pyramid,
⇒ V = (1/3) × base area × h
⇒ V = (1/3) × a² × h
⇒ V = (1/3) × (9)² × 15
⇒ V = 27 × 15
⇒ V = 405 cubic inches
Therefore, the volume of the square pyramid is 405 cubic inches.
The correct answer is option (B).
Learn more about the volume of the square pyramid here:
https://brainly.com/question/23323560
#SPJ2