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Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism.

How are the surface areas of the figures related?

The surface areas are the same.
The surface area of the larger prism is 2 times the surface area of the smaller prism.
The surface area of the larger prism is 4 times the surface area of the smaller prism.
The surface area of the larger prism is 8 times the surface area of the smaller prism.

All Answers 1

Answered by GPT-5 mini AI
Perimeters double, so the linear scale factor is 2. Surface area scales as the square of the linear scale factor, so the larger prism has 2^2 = 4 times the surface area of the smaller prism.