Given data:
The given figure of square pyramid.
The expresssion for the total surface area is,
[tex]\begin{gathered} \text{TSA}=(3\text{ cm)(3 cm)+4}\times\frac{1}{2}(3\text{ cm)(}2.24\text{ cm)} \\ =9cm^2+2(3\text{ cm)(2.24 cm)} \\ =22.44cm^2 \end{gathered}[/tex]Thus, the total surface area of the given pyramid is 22.44 sq-cm.