The surface area of a square pyramid is 116 inches square and the total area of the pyramids four triangular faces is 80 inches square what is the length of the one of the sides?
To find the length of one of the sides of the square base of the pyramid, we first need to find the area of the square base.
The total surface area of the pyramid is the sum of the area of the square base and the area of the four triangular faces. We are given that the total surface area is 116 inches square and the area of the four triangular faces is 80 inches square.
Let x be the length of one side of the square base. The area of the square base is x^2. The total surface area of the pyramid is the sum of the area of the square base and the area of the four triangular faces:
x^2 + 80 = 116
Subtracting 80 from both sides gives:
x^2 = 36
Taking the square root of both sides gives:
x = 6
Therefore, the length of one of the sides of the square base of the pyramid is 6 inches.