Answer:
Explanation:
To find the surface area of the solid square pyramid, we need to find the area of each of the five faces and then add them together.
Since the base of the pyramid is a square with side length of 2 inches, its area is 2^2 = 4 square inches.
Each of the four triangles is a right triangle with height 5 inches and base equal to a side of the square base. Therefore, the area of each triangle is:
(1/2) * base * height = (1/2) * 2 * 5 = 5 square inches
The total area of the four triangles is 4 times the area of one triangle, which is:
4 * 5 = 20 square inches
So, the total surface area of the solid square pyramid is the sum of the area of the base and the area of the four triangles:
4 + 20 = 24 square inches
Therefore, the answer is option (c) 24 square inches.