Answer:
[tex]\large\text{The surface area of the square pyramid} =237.6\ in^{2}[/tex]
Step-by-step explanation:
Formula ====================================
The total surface area of a square pyramid = the base area + the lateral surface area __________________________________
The lateral surface area = the sum of the areas of the four triangular faces
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the base area = 9² = 81 in²
[tex]\text{The lateral surface area} =4\times \frac{9\times 8.7}{2} =156.6\ in^2[/tex]
[tex]\Longrightarrow \text{The total surface area} =156.6+81=237.6\ in^2[/tex]