Sarah is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 23 feet and a base of 26 feet.
Note: Figure is not drawn to scale.
How much glass is needed?
To calculate the surface area of the triangular pyramid, we first need to calculate the area of each face of the pyramid.
Since the base of each face is a triangle with a base of 26 feet and a height of 23 feet, the area of each triangular face can be calculated using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 26 * 23
Area = 299 square feet
The triangular pyramid has a total of 4 faces, so the total surface area of the glass needed is:
Total Surface Area = 4 * Area
Total Surface Area = 4 * 299
Total Surface Area = 1196 square feet
Therefore, 1196 square feet of glass is needed for the triangular pyramid.