Answer:
69 ft²
Explanation:
You want the surface area of a square pyramid with a slant height of 10 ft and a base edge of 3 ft.
Area
The surface area is the sum of the area of the base and the areas of the four congruent triangles. The area formulas are ...
A = 1/2bh . . . . area of triangle with base b and height h
A = s² . . . . . . . area of square with side s
Then the area of the pyramid with b=s=3 ft and h=10 ft is ...
A = s² +4(1/2)sh = s(s +2h) = (3 ft)(3 ft + 2×10 ft) = (3 ft)(23 ft)
A = 69 ft²
The surface area of the pyramid is 69 square feet.
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