The total surface area of the square based pyramid equal to 60 square yards
The surface area of a square
The formula for finding the surface area of the square is given as;
TSA = a²+2a√a²/4 + h²
where:
B is the base area
H is the height
Determine the base area
Base area = 5yd * 5yd
Base area = 25yd²
Determine the height using the pythagoras theorem;
h² = 5² - 3²
h² = 25 - 9
h² = 16
h = 4yd
Determine the surface area
TSA = 5²+2(5)√5²/4 + 4²
TSA = 25+10√25/4 + 16
TSA = 25 + 10√49/4
TSA = 25 + 10(7/2)
TSA = 25 + 35
TSA = 60 square yards
Hence the total surface area of the square based pyramid equal to 60 square yards
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