We will find the surface area of the square pyramid as follows:
*First: We determine the area of all the four faces of the pyramid:
![A_f=(1)/(2)(6)(5)\Rightarrow A_f=15](https://img.qammunity.org/2023/formulas/mathematics/college/7stfj0jtcchbifrt5asdifrspi3myzphli.png)
So, the area of all four faces of the pyramid is:
![A_(4f)=4\cdot15\Rightarrow A_(4f)=60](https://img.qammunity.org/2023/formulas/mathematics/college/7uohbc69abtbwihwikai95vixmvvwx1bek.png)
*Second: We determine the area of the base of the pyramid:
![A_b=6^2\Rightarrow A_b=36](https://img.qammunity.org/2023/formulas/mathematics/college/szc6iwkaw55v5atsewaflpfe4pocw7qte3.png)
*Third: We determine the surface area:
![S_A=A_(4f)+A_b\Rightarrow S_A=60+36\Rightarrow S_A=96](https://img.qammunity.org/2023/formulas/mathematics/college/gk64byjlgu3b0jq5wmyejnl0x4bagvbybn.png)
So, the surface area of the square pyramid is 96 square meters.