If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y. 1008 units2 720 units2 624 units2 384 units2

The correct option is;

720 unit²

Step-by-step 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.

3,000,540

step-by-step explanation: