Answer:
Hi there!
The correct answer to this question is: The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Explanation:
The equation to find the volume of a square pyramid is V= (b^2)(h/3)
we are given the volume to be 972 inches cubed, additionally we know that the base of the square is x inches, the height is x/2
then we plug in and we get 972= (x^2)(x/2/3)
then you simplify to 972 = x^3 / 6 then you multiply six on both sides and you get x^3 = 5832
cube root on both sides and you get x = 18 that means the base is 18 inches and the height is x/2 then you plug 18 in and you get the height to be 9 inches.