Final answer:
To find the surface area of a square pyramid, calculate the area of the base and the area of the four triangular faces. The area of the base is side length squared, and the area of each triangular face is (1/2) times the base times the height. Find the total surface area by summing the area of the base and the triangular faces. In this case, the surface area is 125 m².
Step-by-step explanation:
To find the surface area of a square pyramid, we need to calculate the area of the base and the area of the four triangular faces.
The area of the base can be found using the formula: Area = side length x side length. In this case, the side length is 5 m, so the area of the base is 5 m x 5 m = 25 m².
The area of each triangular face can be found using the formula: Area = (1/2) x base x height. The base of each triangle is the side length of the base, which is 5 m. The height of each triangle is the slant height, which is 10 m. Therefore, the area of each triangular face is (1/2) x 5 m x 10 m = 25 m².
Since there are four triangular faces, the total area of the triangular faces is 4 x 25 m² = 100 m².
The total surface area of the square pyramid is the sum of the area of the base and the area of the triangular faces: 25 m² + 100 m² = 125 m².