The volume of the pyramid is [tex]$726 \mathrm\ {cm}^{3}$[/tex]
Explanation:
The height of the square pyramid is 18 cm
The base of the square pyramid is 11 cm
The volume of the square pyramid can be determined using the formula,
[tex]$V=\frac{1}{3} b^{2} h$[/tex]
Substituting [tex]b=11[/tex] and [tex]h=18[/tex] in the formula, we have,
[tex]$V=\frac{1}{3} (11)^{2} (18)$[/tex]
Simplifying, we have,
[tex]$V=\frac{1}{3} (121)(18)$[/tex]
Multiplying, we get,
[tex]V=\frac{2178}{3}[/tex]
Dividing, we get,
[tex]V=726 \ cm^3[/tex]
Thus, the volume of the pyramid is [tex]$726 \mathrm\ {cm}^{3}$[/tex]
