Answer:
D
Step-by-step explanation:
The surface area of a square pyramid is simply the sum of the areas of the square base and the four congruent triangular sides.
The area of a square is: A = s * s, where s is the side length. Here, the side length is s = 8 in, so plug this in: A = 8 * 8 = 64 inches squared.
The area of a triangle is: A = (1/2) * b * h, where b is the base and h is the height. Here, the base is b = 8 and the height is h = 5. Plug these in:
A = (1/2) * 8 * 5 = 4 * 5 = 20 inches squared.
Since there are four triangles, multiply 20 by 4: 20 * 4 = 80 inches squared.
Add this to the area of the square:
80 + 64 = 144 inches squared
The answer is D.
