The formula for the volume of a square-based pyramid is:
V=(s²•h)/3, where V=volume, s=length of the square, and h=height of the pyramid.
To find the volume of any solid object, the area of the base must be found first. The base of the pyramid is a square. By definition, squares have 4 congruent sides. The formula for the area of a square is A=s•s, which simplifies to A=s², where “s” is a side length of a square. So, because the base length is 9, then the other 3 sides of the square base area also 9.
Let’s input the values into the volume formula when s=9 and h=11:
V=[(9)²•(11)]/3
Simplify using PEMDAS:
V=[81•11]/3
V=891/3
V=297
Therefore, the volume of the square-based pyramid is: 297units³
Answer: 297units³