Answer:
96 cm²
Step-by-step explanation:
The surface area of a pyramid is the sum of the base area and the area of the four triangular faces. Using the formulas for each of these, a simplified formula can be written.
A = s(s +2h)
where s is the side length of the square base, and h is the slant height of a triangular face.
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For the given dimensions, s=4 cm, h=10 cm, the surface area is ...
A = (4 cm)(4 cm +2×10 cm) = (4)(24) cm²
A = 96 cm²
The surface area of the pyramid is 96 square centimeters.
