57. The square base of a regular pyramid has a side length of 4 inches. Each of the other 4 faces of the pyramid is a triangle with a base of 4 inches and a height of 6 inches. The pyramid has a total surface area of 64 square inches. A second regular pyramid has a square base that is 4 inches by 4 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?

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation

The surface area of ​​the second cone is 128, so the measured area is 112, the area of ​​each face is 28, and the height of each face is 28 times 2 divided by 4 to equal 14. Choose C.