Given,
The measure of the length of the side of square is s.
The height of the pyramid is 1/2 of the length of the side.
Required
The volume of the square pyramid.
The formula for the volume of the square pyramid is,
[tex]Volume\text{ =}\frac{side\times side\times height}{3}[/tex]Substituting the values then,
[tex]\begin{gathered} Volume\text{ =}\frac{s\times s\times s}{3\times2} \\ =\frac{s^3}{6} \end{gathered}[/tex]Hence, the volume of the pyramid is s^3/6.