Answer:
95 square inche
Explanation:
To find the surface area of a pyramid, you will need to add the area of the base to the sum of the areas of the triangular faces.
The base of the pyramid is a square with an edge length of 5 inches, so its area is 5 * 5 = 25 square inches.
Each triangular face of the pyramid has a base of 5 inches and a slant height of 7 inches, so its area can be found using the formula for the area of a triangle: A = (base * height) / 2. Substituting the base and height values, we get:
A = (5 * 7) / 2 = 35 / 2 = 17.5 square inches
Since there are four triangular faces on a pyramid, the total area of the triangular faces is 4 * 17.5 = 70 square inches.
To find the surface area of the pyramid, we add the area of the base to the area of the triangular faces: 25 + 70 = 95 square inches. Therefore, the surface area of the pyramid is 95 square inches.