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Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. the surface area of the larger pyramid is 56 cm2. what is the surface area of the smaller pyramid? 40.1 cm2 42.7 cm2 52.2 cm2 59.8 cm2

Sagot :

The surface area of the smaller pyramid is determined as 42.7 cm².

Area of pyramids

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

Surface area of the similar pyramids

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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Answer:

42.7

Explanation: