Answer:
The correct option is;
720 unit²
Explanation:
The given dimension of square pyramid is given as follows;
The length and width of the square prism = w = 12 units
The height of the square prism = x = 7 units
The base width of the pyramid = w = 12 units
The formula of the area of the square prism = 2 × w² + w × x × 4
∴ The area of the square prism = 2 × 12² + 12 × 7 × 4 = 624 unit²
The area of the square pyramid = w² + 1/2×4×w ×√((w/2)² + y²)
The area of the square pyramid = 12² + 1/2×4×12×√((12/2)² + 8²) = 12² +240 unit²
The formula for the surface area of the figure = The slant surface area of the square prism + The area of the base of the square prism + The slant surface area of the square pyramid
The surface area of the figure = 12² + 12 × 7 × 4 + 1/2×4×12×√((12/2)² + 8²) = 720 unit²
The surface area of the figure = 720 unit².