Find the surface area of the pyramid.

A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.

Respuesta :

To find the surface area of a pyramid, we need to calculate the area of each face and then add them up.

For a triangular pyramid, we have one base triangle and three triangular faces.

The area of the base triangle can be calculated using the formula:
Area = (1/2) * base * height

In this case, the base of the triangle is 20 yards and the height is 17.3 yards. Plugging in these values, we get:
Area of base triangle = (1/2) * 20 * 17.3

Now, let's calculate the area of each triangular face. The height of each triangular face is labeled as 12 yards. So, the area of each face can be calculated using the formula:
Area = (1/2) * base * height

In this case, the base of each triangular face is 20 yards, and the height is 12 yards. Plugging in these values, we get:
Area of each triangular face = (1/2) * 20 * 12

Since there are three triangular faces, we multiply the area of each face by 3.

Finally, we add the area of the base triangle and the total area of the three triangular faces to get the surface area of the pyramid.