Answer:
240 in²
Explanation:
The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.
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Face
The area of a triangle is ...
A = 1/2bh
For the given triangles, this is ...
A = 1/2(8 in)(11 in) = 44 in²
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Base
The area of the square base is ...
A = s²
For the given dimensions, this is ...
A = (8 in)² = 64 in²
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Total Surface Area
The sum of the areas of the four faces and the base is ...
total area = 4(44 in²) +64 in² = 240 in²
The surface area of the square pyramid is 240 in².