The surface area of the smaller pyramid is determined as 42.7 cm².
The base area of the two similar pyramid is given as follows;
Base area of large pyramid = 16 cm²
Base area of smaller pyramid = 12.2 cm²
The surface area of the smaller pyramid is calculated as follows;
s₁/b₁ = s₂/b₂
s₁/12.2 = 56/16
s₁ = 42.7 cm²
Thus, the surface area of the smaller pyramid is determined as 42.7 cm².
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