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The square base of a regular pyramid has a side length of 6 inches. Each of the other 4 faces of the pyramid is a triangle with a base of 6 inches and a height of 8 inches. The pyramid has a total surface area of 132 inches. A second regular pyramid has a square base that is 6 inches by 6 inches, but its total surface area is double that of the first pyramid. What is the height, in inches, of each of the triangular faces of the second pyramid?

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